-2x+6=15x-6+2(10+2)

Solution for -2x+6=15x-6+2(10+2) equation:

Simplifying
-2x + 6 = 15x + -6 + 2(10 + 2)

Reorder the terms:
6 + -2x = 15x + -6 + 2(10 + 2)

Combine like terms: 10 + 2 = 12
6 + -2x = 15x + -6 + 2(12)

Multiply 2 * 12
6 + -2x = 15x + -6 + 24

Reorder the terms:
6 + -2x = -6 + 24 + 15x

Combine like terms: -6 + 24 = 18
6 + -2x = 18 + 15x

Solving
6 + -2x = 18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + -2x + -15x = 18 + 15x + -15x

Combine like terms: -2x + -15x = -17x
6 + -17x = 18 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -17x = 18 + 0
6 + -17x = 18

Add '-6' to each side of the equation.
6 + -6 + -17x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = 18 + -6
-17x = 18 + -6

Combine like terms: 18 + -6 = 12
-17x = 12

Divide each side by '-17'.
x = -0.7058823529

Simplifying
x = -0.7058823529