2-3x=-x+6

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


Simplifying
2 + -3x = -1x + 6

Reorder the terms:
2 + -3x = 6 + -1x

Solving
2 + -3x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + -3x + x = 6 + -1x + x

Combine like terms: -3x + x = -2x
2 + -2x = 6 + -1x + x

Combine like terms: -1x + x = 0
2 + -2x = 6 + 0
2 + -2x = 6

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

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

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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