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

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


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

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

Combine like terms: 2x + 2x = 4x
2 + 4x = 2(x + 2)

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

Solving
2 + 4x = 4 + 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.
2 + 4x + -2x = 4 + 2x + -2x

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

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

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

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

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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