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

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


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

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

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

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

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

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

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

Combine like terms: x + 2x = 3x
3x = 4x + x

Combine like terms: 4x + x = 5x
3x = 5x

Solving
3x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
-2x = 5x + -5x

Combine like terms: 5x + -5x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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