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

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


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

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

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

Reorder the terms:
-2 + 5x = -2 + x

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

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

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

Solving
5x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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