5x+8=-x+2

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Solution for 5x+8=-x+2 equation:


Simplifying
5x + 8 = -1x + 2

Reorder the terms:
8 + 5x = -1x + 2

Reorder the terms:
8 + 5x = 2 + -1x

Solving
8 + 5x = 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 + 5x + x = 2 + -1x + x

Combine like terms: 5x + x = 6x
8 + 6x = 2 + -1x + x

Combine like terms: -1x + x = 0
8 + 6x = 2 + 0
8 + 6x = 2

Add '-8' to each side of the equation.
8 + -8 + 6x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 2 + -8
6x = 2 + -8

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

Divide each side by '6'.
x = -1

Simplifying
x = -1

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