2-3x=2(x+1)

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


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

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

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

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

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

Solving
-3x = 2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-5'.
x = 0

Simplifying
x = 0

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