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

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

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

Reorder the terms:
2(6 + x) = 7x + -6 + x
(6 * 2 + x * 2) = 7x + -6 + x
(12 + 2x) = 7x + -6 + x

Reorder the terms:
12 + 2x = -6 + 7x + x

Combine like terms: 7x + x = 8x
12 + 2x = -6 + 8x

Solving
12 + 2x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 2x + -8x = -6 + 8x + -8x

Combine like terms: 2x + -8x = -6x
12 + -6x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + -6x = -6 + 0
12 + -6x = -6

Add '-12' to each side of the equation.
12 + -12 + -6x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -6 + -12
-6x = -6 + -12

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

Divide each side by '-6'.
x = 3

Simplifying
x = 3