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

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


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

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

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

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

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

Solving
4 + 2x = -4

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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