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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Simplify the left side of the equation:
Simplify the right side of the equation:
To simplify the left side of the equation, we can distribute the 2 to both terms inside the parentheses:
2(x-5) = 2x - 10
To simplify the right side of the equation, we can combine like terms:
9 - 3x + 6 + 8 + 3x + 7 = 30
Jill solves the equation 3(x−5)+2x=0
. Fill in the blanks for each step with the correct values:(3 points)
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3x+
+2x=0
5x=
x=
To solve the equation 3(x-5) + 2x = 0, we need to simplify each side of the equation step by step.
Starting with the left side of the equation:
3(x-5) + 2x = 0
3x - 15 + 2x = 0
Combining like terms on the left side, we have:
5x - 15 = 0
To isolate the variable x, we will add 15 to both sides of the equation:
5x - 15 + 15 = 0 + 15
5x = 15
Finally, we can solve for x by dividing both sides of the equation by 5:
(5x)/5 = 15/5
x = 3
So, the value of x that solves the equation is x = 3.
To simplify the left side of the equation, we can use the distributive property.
2(x - 5) simplifies to 2x - 10.
Now, let's simplify the right side of the equation by combining like terms.
Starting with 9 - 3x + 6 + 8 + 3x + 7, we can combine the like terms:
9 + 6 + 8 + 7 = 30.
So, the right side of the equation simplifies to 30.