6-7x=4(2x-6)

Solution for 6-7x=4(2x-6) equation:

Simplifying
6 + -7x = 4(2x + -6)

Reorder the terms:
6 + -7x = 4(-6 + 2x)
6 + -7x = (-6 * 4 + 2x * 4)
6 + -7x = (-24 + 8x)

Solving
6 + -7x = -24 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
6 + -7x + -8x = -24 + 8x + -8x

Combine like terms: -7x + -8x = -15x
6 + -15x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -15x = -24 + 0
6 + -15x = -24

Add '-6' to each side of the equation.
6 + -6 + -15x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -15x = -24 + -6
-15x = -24 + -6

Combine like terms: -24 + -6 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2