-6x+7=3(2x-3)-4(-10+4x)

1 answer

To solve the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x), we need to simplify both sides of the equation and then isolate the variable x.

First, distribute the 3 and 4 on the right side:

-6x + 7 = 6x - 9 + 40 - 16x

Combine like terms:

-6x + 7 = -10x + 31

Add 10x to both sides to isolate the x term:

4x + 7 = 31

Next, subtract 7 from both sides:

4x = 24

Finally, divide both sides by 4 to solve for x:

x = 6

Therefore, the solution to the equation -6x + 7 = 3(2x - 3) - 4(-10 + 4x) is x = 6.