3(2x+2)-(x-6)=10

Solution for 3(2x+2)-(x-6)=10 equation:

Simplifying
3(2x + 2) + -1(x + -6) = 10

Reorder the terms:
3(2 + 2x) + -1(x + -6) = 10
(2 * 3 + 2x * 3) + -1(x + -6) = 10
(6 + 6x) + -1(x + -6) = 10

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

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

Combine like terms: 6 + 6 = 12
12 + 6x + -1x = 10

Combine like terms: 6x + -1x = 5x
12 + 5x = 10

Solving
12 + 5x = 10

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 5x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 10 + -12
5x = 10 + -12

Combine like terms: 10 + -12 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4