5x-8=-x+16

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Solution for 5x-8=-x+16 equation:


Simplifying
5x + -8 = -1x + 16

Reorder the terms:
-8 + 5x = -1x + 16

Reorder the terms:
-8 + 5x = 16 + -1x

Solving
-8 + 5x = 16 + -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 = 16 + -1x + x

Combine like terms: 5x + x = 6x
-8 + 6x = 16 + -1x + x

Combine like terms: -1x + x = 0
-8 + 6x = 16 + 0
-8 + 6x = 16

Add '8' to each side of the equation.
-8 + 8 + 6x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 16 + 8
6x = 16 + 8

Combine like terms: 16 + 8 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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