-8(x-6)+7(-x-6)=0

Solution for -8(x-6)+7(-x-6)=0 equation:

Simplifying
-8(x + -6) + 7(-1x + -6) = 0

Reorder the terms:
-8(-6 + x) + 7(-1x + -6) = 0
(-6 * -8 + x * -8) + 7(-1x + -6) = 0
(48 + -8x) + 7(-1x + -6) = 0

Reorder the terms:
48 + -8x + 7(-6 + -1x) = 0
48 + -8x + (-6 * 7 + -1x * 7) = 0
48 + -8x + (-42 + -7x) = 0

Reorder the terms:
48 + -42 + -8x + -7x = 0

Combine like terms: 48 + -42 = 6
6 + -8x + -7x = 0

Combine like terms: -8x + -7x = -15x
6 + -15x = 0

Solving
6 + -15x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -15x = 0 + -6

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

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

Divide each side by '-15'.
x = 0.4

Simplifying
x = 0.4