6(x-7)-8x=32

Solution for 6(x-7)-8x=32 equation:

Simplifying
6(x + -7) + -8x = 32

Reorder the terms:
6(-7 + x) + -8x = 32
(-7 * 6 + x * 6) + -8x = 32
(-42 + 6x) + -8x = 32

Combine like terms: 6x + -8x = -2x
-42 + -2x = 32

Solving
-42 + -2x = 32

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + -2x = 32 + 42

Combine like terms: -42 + 42 = 0
0 + -2x = 32 + 42
-2x = 32 + 42

Combine like terms: 32 + 42 = 74
-2x = 74

Divide each side by '-2'.
x = -37

Simplifying
x = -37