5x-8=-x+1

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Solution for 5x-8=-x+1 equation:


Simplifying
5x + -8 = -1x + 1

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

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + 6x = 1 + 8

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

Combine like terms: 1 + 8 = 9
6x = 9

Divide each side by '6'.
x = 1.5

Simplifying
x = 1.5

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