2x+2(x-1)=2x-15+3x

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Solution for 2x+2(x-1)=2x-15+3x equation:


Simplifying
2x + 2(x + -1) = 2x + -15 + 3x

Reorder the terms:
2x + 2(-1 + x) = 2x + -15 + 3x
2x + (-1 * 2 + x * 2) = 2x + -15 + 3x
2x + (-2 + 2x) = 2x + -15 + 3x

Reorder the terms:
-2 + 2x + 2x = 2x + -15 + 3x

Combine like terms: 2x + 2x = 4x
-2 + 4x = 2x + -15 + 3x

Reorder the terms:
-2 + 4x = -15 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 4x = -15 + 5x

Solving
-2 + 4x = -15 + 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.
-2 + 4x + -5x = -15 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = -15 + 0
-2 + -1x = -15

Add '2' to each side of the equation.
-2 + 2 + -1x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -15 + 2
-1x = -15 + 2

Combine like terms: -15 + 2 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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