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

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


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

Reorder the terms:
7(2 + x) + x = 2(x + 2) + -2
(2 * 7 + x * 7) + x = 2(x + 2) + -2
(14 + 7x) + x = 2(x + 2) + -2

Combine like terms: 7x + x = 8x
14 + 8x = 2(x + 2) + -2

Reorder the terms:
14 + 8x = 2(2 + x) + -2
14 + 8x = (2 * 2 + x * 2) + -2
14 + 8x = (4 + 2x) + -2

Reorder the terms:
14 + 8x = 4 + -2 + 2x

Combine like terms: 4 + -2 = 2
14 + 8x = 2 + 2x

Solving
14 + 8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + 8x + -2x = 2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
14 + 6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 6x = 2 + 0
14 + 6x = 2

Add '-14' to each side of the equation.
14 + -14 + 6x = 2 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 2 + -14
6x = 2 + -14

Combine like terms: 2 + -14 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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