Math Equation Response Question

Question

What is the value of x that makes this equation true?
-5(2x-3)+4x=-3x+6

Answer 1

To find the value of x that makes the equation true, we need to solve for x.

Distribute -5 to the terms inside the parentheses:
-10x + 15 + 4x = -3x + 6

Combine like terms:
-6x + 15 = -3x + 6

Move all the terms with x to one side of the equation by adding 3x to both sides:
-6x + 3x + 15 = 6

Combine like terms:
-3x + 15 = 6

Move the constant term to the other side by subtracting 15 from both sides:
-3x = -9

Finally, solve for x by dividing both sides by -3:
x = (-9) / (-3)

x = 3

Therefore, the value of x that makes the equation true is 3.