5x-16=-x+2

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Solution for 5x-16=-x+2 equation:


Simplifying
5x + -16 = -1x + 2

Reorder the terms:
-16 + 5x = -1x + 2

Reorder the terms:
-16 + 5x = 2 + -1x

Solving
-16 + 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.
-16 + 5x + x = 2 + -1x + x

Combine like terms: 5x + x = 6x
-16 + 6x = 2 + -1x + x

Combine like terms: -1x + x = 0
-16 + 6x = 2 + 0
-16 + 6x = 2

Add '16' to each side of the equation.
-16 + 16 + 6x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 2 + 16
6x = 2 + 16

Combine like terms: 2 + 16 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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