x-2=-3x+2

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Solution for x-2=-3x+2 equation:


Simplifying
x + -2 = -3x + 2

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

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

Solving
-2 + x = 2 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-2 + 4x = 2 + 0
-2 + 4x = 2

Add '2' to each side of the equation.
-2 + 2 + 4x = 2 + 2

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

Combine like terms: 2 + 2 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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