3(6x+12)-(10x-6)=10

Solution for 3(6x+12)-(10x-6)=10 equation:

Simplifying
3(6x + 12) + -1(10x + -6) = 10

Reorder the terms:
3(12 + 6x) + -1(10x + -6) = 10
(12 * 3 + 6x * 3) + -1(10x + -6) = 10
(36 + 18x) + -1(10x + -6) = 10

Reorder the terms:
36 + 18x + -1(-6 + 10x) = 10
36 + 18x + (-6 * -1 + 10x * -1) = 10
36 + 18x + (6 + -10x) = 10

Reorder the terms:
36 + 6 + 18x + -10x = 10

Combine like terms: 36 + 6 = 42
42 + 18x + -10x = 10

Combine like terms: 18x + -10x = 8x
42 + 8x = 10

Solving
42 + 8x = 10

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 8x = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 8x = 10 + -42
8x = 10 + -42

Combine like terms: 10 + -42 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4