2(2x+2)=2(x+1)+4x

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Solution for 2(2x+2)=2(x+1)+4x equation:


Simplifying
2(2x + 2) = 2(x + 1) + 4x

Reorder the terms:
2(2 + 2x) = 2(x + 1) + 4x
(2 * 2 + 2x * 2) = 2(x + 1) + 4x
(4 + 4x) = 2(x + 1) + 4x

Reorder the terms:
4 + 4x = 2(1 + x) + 4x
4 + 4x = (1 * 2 + x * 2) + 4x
4 + 4x = (2 + 2x) + 4x

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

Solving
4 + 4x = 2 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 0
4 + -2x = 2 + 0
4 + -2x = 2

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

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

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

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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