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

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


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

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

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

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

Combine like terms: -2 + 2 = 0
0 + 3x = 2(2x + 2) + x
3x = 2(2x + 2) + x

Reorder the terms:
3x = 2(2 + 2x) + x
3x = (2 * 2 + 2x * 2) + x
3x = (4 + 4x) + x

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

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

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

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

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

Simplifying
x = -2

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