-x+1=5x-8

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


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

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

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

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

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + -1x + -5x = -8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
1 + -6x = -8 + 0
1 + -6x = -8

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

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

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

Divide each side by '-6'.
x = 1.5

Simplifying
x = 1.5

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