7x-(6x-6)=3x-10

Solution for 7x-(6x-6)=3x-10 equation:

Simplifying
7x + -1(6x + -6) = 3x + -10

Reorder the terms:
7x + -1(-6 + 6x) = 3x + -10
7x + (-6 * -1 + 6x * -1) = 3x + -10
7x + (6 + -6x) = 3x + -10

Reorder the terms:
6 + 7x + -6x = 3x + -10

Combine like terms: 7x + -6x = 1x
6 + 1x = 3x + -10

Reorder the terms:
6 + 1x = -10 + 3x

Solving
6 + 1x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 1x + -3x = -10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
6 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = -10 + 0
6 + -2x = -10

Add '-6' to each side of the equation.
6 + -6 + -2x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -10 + -6
-2x = -10 + -6

Combine like terms: -10 + -6 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8