x-6=-3x+2

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Solution for x-6=-3x+2 equation:


Simplifying
x + -6 = -3x + 2

Reorder the terms:
-6 + x = -3x + 2

Reorder the terms:
-6 + x = 2 + -3x

Solving
-6 + 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.
-6 + x + 3x = 2 + -3x + 3x

Combine like terms: x + 3x = 4x
-6 + 4x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 4x = 2 + 0
-6 + 4x = 2

Add '6' to each side of the equation.
-6 + 6 + 4x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 2 + 6
4x = 2 + 6

Combine like terms: 2 + 6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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