-x+5=-7x-31

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Solution for -x+5=-7x-31 equation:


Simplifying
-1x + 5 = -7x + -31

Reorder the terms:
5 + -1x = -7x + -31

Reorder the terms:
5 + -1x = -31 + -7x

Solving
5 + -1x = -31 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
5 + -1x + 7x = -31 + -7x + 7x

Combine like terms: -1x + 7x = 6x
5 + 6x = -31 + -7x + 7x

Combine like terms: -7x + 7x = 0
5 + 6x = -31 + 0
5 + 6x = -31

Add '-5' to each side of the equation.
5 + -5 + 6x = -31 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = -31 + -5
6x = -31 + -5

Combine like terms: -31 + -5 = -36
6x = -36

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

Simplifying
x = -6

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