Order the steps for solving the equation: 2x−5=3(4x+5)
2
x
−
5
=
3
(
4
x
+
5
)
(8 points)
2x−5=3(4x+5)
2
x
−
5
=
3
(
4
x
+
5
)
Step 1: Property to get
Step 2: Property to get
Step 3: Property to get
Step 4: Property to get
Check again
Apologies for the mistake. Let's recheck the steps:
Step 1: Distributive Property to get rid of the parentheses:
2x - 5 = 3 * 4x + 3 * 5
Step 2: Simplify the expression on the right side:
2x - 5 = 12x + 15
Step 3: Combine like terms by subtracting 12x from both sides:
2x - 12x - 5 = 12x - 12x + 15
-10x - 5 = 15
Step 4: Add 5 to both sides:
-10x - 5 + 5 = 15 + 5
-10x = 20
Step 5: Divide both sides by -10:
(-10x) / -10 = 20 / -10
x = -2
So, the correct ordering of steps is:
Step 1: Distributive Property
Step 2: Simplify the expression
Step 3: Combine like terms
Step 4: Add 5 to both sides
Step 5: Divide both sides by -10
How do you do it in four steps?
To solve the equation 2x−5=3(4x+5), follow these steps:
Step 1: Distribute the 3 to the terms inside the parentheses on the right side of the equation:
2x−5=12x+15
Step 2: Simplify the equation by combining like terms on both sides:
2x−12x=15+5
-10x=20
Step 3: Divide both sides of the equation by -10 to solve for x:
-10x/-10=20/-10
x=-2
Step 4: Check the solution by substituting the value of x back into the original equation:
2(-2)−5=3(4(-2)+5)
-4-5=3(-8+5)
-9=3(-3)
-9=-9
Therefore, the solution to the equation is x=-2.
Apologies for the confusion. Here is the solution in four steps:
Step 1: Distribute the 3 to the terms inside the parentheses:
2x - 5 = 3 * 4x + 3 * 5
This simplifies to:
2x - 5 = 12x + 15
Step 2: Group the x terms and constant terms separately:
2x - 12x = 15 + 5
This simplifies to:
-10x = 20
Step 3: Divide both sides by -10:
-10x / -10 = 20 / -10
This simplifies to:
x = -2
Step 4: Final solution:
The solution to the equation is x = -2.
So, the four steps are:
Step 1: Distribute the 3
Step 2: Group like terms
Step 3: Divide both sides by -10
Step 4: Final solution
bob is this correct?
Step 1: Distributive Property to get rid of the parentheses:
2x - 5 = 12x + 15
Step 2: Combine like terms by subtracting 12x from both sides:
2x - 12x - 5 = 12x - 12x + 15
-10x - 5 = 15
Step 3: Add 5 to both sides:
-10x - 5 + 5 = 15 + 5
-10x = 20
Step 4: Divide both sides by -10:
(-10x) / -10 = 20 / -10
x = -2