-6(x-7)-(-7x+6)=5

Solution for -6(x-7)-(-7x+6)=5 equation:

Simplifying
-6(x + -7) + -1(-7x + 6) = 5

Reorder the terms:
-6(-7 + x) + -1(-7x + 6) = 5
(-7 * -6 + x * -6) + -1(-7x + 6) = 5
(42 + -6x) + -1(-7x + 6) = 5

Reorder the terms:
42 + -6x + -1(6 + -7x) = 5
42 + -6x + (6 * -1 + -7x * -1) = 5
42 + -6x + (-6 + 7x) = 5

Reorder the terms:
42 + -6 + -6x + 7x = 5

Combine like terms: 42 + -6 = 36
36 + -6x + 7x = 5

Combine like terms: -6x + 7x = 1x
36 + 1x = 5

Solving
36 + 1x = 5

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 1x = 5 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = 5 + -36
1x = 5 + -36

Combine like terms: 5 + -36 = -31
1x = -31

Divide each side by '1'.
x = -31

Simplifying
x = -31