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

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Solution for 3(x+1)+1+2x=(2x+2)+x equation: 


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

Reorder the terms:
3(1 + x) + 1 + 2x = (2x + 2) + x
(1 * 3 + x * 3) + 1 + 2x = (2x + 2) + x
(3 + 3x) + 1 + 2x = (2x + 2) + x

Reorder the terms:
3 + 1 + 3x + 2x = (2x + 2) + x

Combine like terms: 3 + 1 = 4
4 + 3x + 2x = (2x + 2) + x

Combine like terms: 3x + 2x = 5x
4 + 5x = (2x + 2) + x

Reorder the terms:
4 + 5x = (2 + 2x) + x

Remove parenthesis around (2 + 2x)
4 + 5x = 2 + 2x + x

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

Solving
4 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 5x + -3x = 2 + 3x + -3x

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

Combine like terms: 3x + -3x = 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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