8-3x=-x+2

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Solution for 8-3x=-x+2 equation:


Simplifying
8 + -3x = -1x + 2

Reorder the terms:
8 + -3x = 2 + -1x

Solving
8 + -3x = 2 + -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.
8 + -3x + x = 2 + -1x + x

Combine like terms: -3x + x = -2x
8 + -2x = 2 + -1x + x

Combine like terms: -1x + x = 0
8 + -2x = 2 + 0
8 + -2x = 2

Add '-8' to each side of the equation.
8 + -8 + -2x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 2 + -8
-2x = 2 + -8

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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