-9x+6=7(6-x)

Solution for -9x+6=7(6-x) equation:

Simplifying
-9x + 6 = 7(6 + -1x)

Reorder the terms:
6 + -9x = 7(6 + -1x)
6 + -9x = (6 * 7 + -1x * 7)
6 + -9x = (42 + -7x)

Solving
6 + -9x = 42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + -9x + 7x = 42 + -7x + 7x

Combine like terms: -9x + 7x = -2x
6 + -2x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + -2x = 42 + 0
6 + -2x = 42

Add '-6' to each side of the equation.
6 + -6 + -2x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 42 + -6
-2x = 42 + -6

Combine like terms: 42 + -6 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18