(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 = 4
4 + x + 2x = 4x + x

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

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

Solving
4 + 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.
4 + 3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
4 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -2x = 0

Add '-4' to each side of the equation.
4 + -4 + -2x = 0 + -4

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

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

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

Simplifying
x = 2

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