6(x-7)-7(x-6)=x+6-(x+2)

Solution for 6(x-7)-7(x-6)=x+6-(x+2) equation:

Simplifying
6(x + -7) + -7(x + -6) = x + 6 + -1(x + 2)

Reorder the terms:
6(-7 + x) + -7(x + -6) = x + 6 + -1(x + 2)
(-7 * 6 + x * 6) + -7(x + -6) = x + 6 + -1(x + 2)
(-42 + 6x) + -7(x + -6) = x + 6 + -1(x + 2)

Reorder the terms:
-42 + 6x + -7(-6 + x) = x + 6 + -1(x + 2)
-42 + 6x + (-6 * -7 + x * -7) = x + 6 + -1(x + 2)
-42 + 6x + (42 + -7x) = x + 6 + -1(x + 2)

Reorder the terms:
-42 + 42 + 6x + -7x = x + 6 + -1(x + 2)

Combine like terms: -42 + 42 = 0
0 + 6x + -7x = x + 6 + -1(x + 2)
6x + -7x = x + 6 + -1(x + 2)

Combine like terms: 6x + -7x = -1x
-1x = x + 6 + -1(x + 2)

Reorder the terms:
-1x = x + 6 + -1(2 + x)
-1x = x + 6 + (2 * -1 + x * -1)
-1x = x + 6 + (-2 + -1x)

Reorder the terms:
-1x = 6 + -2 + x + -1x

Combine like terms: 6 + -2 = 4
-1x = 4 + x + -1x

Combine like terms: x + -1x = 0
-1x = 4 + 0
-1x = 4

Solving
-1x = 4

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -4

Simplifying
x = -4