2(x+1)=2(6x-1)+x-7

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Solution for 2(x+1)=2(6x-1)+x-7 equation: 


Simplifying
2(x + 1) = 2(6x + -1) + x + -7

Reorder the terms:
2(1 + x) = 2(6x + -1) + x + -7
(1 * 2 + x * 2) = 2(6x + -1) + x + -7
(2 + 2x) = 2(6x + -1) + x + -7

Reorder the terms:
2 + 2x = 2(-1 + 6x) + x + -7
2 + 2x = (-1 * 2 + 6x * 2) + x + -7
2 + 2x = (-2 + 12x) + x + -7

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

Combine like terms: -2 + -7 = -9
2 + 2x = -9 + 12x + x

Combine like terms: 12x + x = 13x
2 + 2x = -9 + 13x

Solving
2 + 2x = -9 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
2 + 2x + -13x = -9 + 13x + -13x

Combine like terms: 2x + -13x = -11x
2 + -11x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -11x = -9 + 0
2 + -11x = -9

Add '-2' to each side of the equation.
2 + -2 + -11x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -9 + -2
-11x = -9 + -2

Combine like terms: -9 + -2 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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