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

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

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

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

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

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

Combine like terms: -42 + 42 = 0
0 + 6x + -7x = x + 6 + -1(-6)
6x + -7x = x + 6 + -1(-6)

Combine like terms: 6x + -7x = -1x
-1x = x + 6 + -1(-6)

Multiply -1 * -6
-1x = x + 6 + 6

Reorder the terms:
-1x = 6 + 6 + x

Combine like terms: 6 + 6 = 12
-1x = 12 + x

Solving
-1x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1x + -1x = 12 + x + -1x

Combine like terms: -1x + -1x = -2x
-2x = 12 + x + -1x

Combine like terms: x + -1x = 0
-2x = 12 + 0
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6