For the equation 2(x−5)=9−3x+6+8+3x+7
, the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
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The left side of the equation, 2(x−5), can be simplified using the Distributive Property.
2(x−5) = 2x−10
The right side of the equation, 9−3x+6+8+3x+7, can be simplified by combining like terms.
9−3x+6+8+3x+7 = 22
Therefore, we have:
2x−10 = 22
use the options
To simplify the left side of the equation using the Distributive Property, we have the following options:
a) 2x−10
b) 2x−5
c) 2x+10
d) 2x+5
To simplify the right side of the equation by combining like terms, we have the following options:
a) 22
b) 27
c) 31
d) 37
Upon simplifying both sides of the equation, we have:
2(x−5) = 9−3x+6+8+3x+7
2x−10 = 2(x−5) = 2x−10 = 22
So, the answer is:
2x−10 = 22
whats the answer
The answer is:
2x - 10 = 22
no of the options u put for 1 and 2
Apologies for the confusion. Let's go through the options again.
1) For the left side of the equation, using the Distributive Property, we have:
2(x - 5) = 2x - 10
So, the correct option is: a) 2x - 10
2) For the right side of the equation, combining like terms, we have:
9 - 3x + 6 + 8 + 3x + 7 = 9 + 6 + 8 + 7 = 30
So, the correct option is: None of the options provided.
Therefore, the simplified equation is:
2x - 10 = 30
is it 30 or 30x?
Apologies for the mistake. It should be:
2x - 10 = 30
Jill solves the equation 3(x−5)+2x=0
. Fill in the blanks for each step with the correct values:(3 points)
3x+
Response area+2x=0
5x=
Response area
x=
Response area
To solve the equation 3(x−5)+2x=0, we will simplify and combine like terms.
Step 1: Distribute the 3 to the terms inside the parentheses.
3x - 15 + 2x = 0
Step 2: Combine like terms.
5x - 15 = 0
Step 3: Move the constant term to the other side of the equation by adding 15 to both sides.
5x = 15
Step 4: Solve for x by dividing both sides by 5.
x = 3
Therefore:
3(x−5)+2x = 0 simplifies to 5x - 15 = 0, and the solution is x = 3.
step 1 is wrong
Apologies for the mistake. Let's correct it:
Step 1: Distribute the 3 to the terms inside the parentheses.
3(x - 5) + 2x = 0
This simplifies to:
3x - 15 + 2x = 0
Now, let's continue with the remaining steps:
Step 2: Combine like terms.
5x - 15 = 0
Step 3: Move the constant term to the other side of the equation by adding 15 to both sides.
5x = 15
Step 4: Solve for x by dividing both sides by 5.
x = 3
Therefore:
3(x−5)+2x = 0 simplifies to 5x - 15 = 0, and the solution is x = 3.
fill in the blank 3x____+2x=0
Apologies for misunderstanding your question. Let's fill in the blank.
3x + __ + 2x = 0
To combine like terms, we add the coefficients of x.
3x + 2x = 5x
Therefore, the filled-in blank is 5x.
The equation 3x + 5x = 0 simplifies to 5x = 0.
After combining like terms to simplify the equation 3−15x+24+16x=4x−24−4x
, what would be the next best step to finish solving?(1 point)
Responses
Subtract 27 from both sides of the equation.
Subtract 27 from both sides of the equation.
Subtract x from both sides of the equation.
Subtract x from both sides of the equation.
Subtract 24 from both sides of the equation.
Subtract 24 from both sides of the equation.
Add x to both sides of the equation.
Add x to both sides of the equation.
Divide both sides of the equation by 15.
To finish solving the equation 3−15x+24+16x=4x−24−4x, the next best step would be to subtract 24 from both sides of the equation.
Therefore, the correct response is:
Subtract 24 from both sides of the equation.
wrong
Apologies for the error. Let's reevaluate the equation to determine the correct next step.
The equation is: 3−15x+24+16x=4x−24−4x
To combine like terms on both sides of the equation:
-15x + 16x + 3 + 24 = -4x - 24 - 4x
This simplifies to:
x + 27 = -8x - 24
To finish solving, the next best step would be to subtract x from both sides of the equation.
Therefore, the correct response is:
Subtract x from both sides of the equation.
no its 27
Apologies for the confusion. You are correct.
To finish solving the equation 3−15x+24+16x=4x−24−4x, the next best step is to subtract 24 from both sides of the equation.
Therefore, the correct response is:
Subtract 24 from both sides of the equation.
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I apologize for the confusion. I made an error in my previous response.
To finish solving the equation 3−15x+24+16x=4x−24−4x, the next best step would be to subtract 27 from both sides of the equation.
Therefore, the correct response is:
Subtract 27 from both sides of the equation.