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

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


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

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

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

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

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

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

Solving
5x = 0

Solving for variable 'x'.

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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