(2x-2)+2(2x+7)=4x-2

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Solution for (2x-2)+2(2x+7)=4x-2 equation:


Simplifying
(2x + -2) + 2(2x + 7) = 4x + -2

Reorder the terms:
(-2 + 2x) + 2(2x + 7) = 4x + -2

Remove parenthesis around (-2 + 2x)
-2 + 2x + 2(2x + 7) = 4x + -2

Reorder the terms:
-2 + 2x + 2(7 + 2x) = 4x + -2
-2 + 2x + (7 * 2 + 2x * 2) = 4x + -2
-2 + 2x + (14 + 4x) = 4x + -2

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

Combine like terms: -2 + 14 = 12
12 + 2x + 4x = 4x + -2

Combine like terms: 2x + 4x = 6x
12 + 6x = 4x + -2

Reorder the terms:
12 + 6x = -2 + 4x

Solving
12 + 6x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 6x + -4x = -2 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -2 + 0
12 + 2x = -2

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

Combine like terms: 12 + -12 = 0
0 + 2x = -2 + -12
2x = -2 + -12

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

Divide each side by '2'.
x = -7

Simplifying
x = -7

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