5x+16=13x-80

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Solution for 5x+16=13x-80 equation:


Simplifying
5x + 16 = 13x + -80

Reorder the terms:
16 + 5x = 13x + -80

Reorder the terms:
16 + 5x = -80 + 13x

Solving
16 + 5x = -80 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
16 + 5x + -13x = -80 + 13x + -13x

Combine like terms: 5x + -13x = -8x
16 + -8x = -80 + 13x + -13x

Combine like terms: 13x + -13x = 0
16 + -8x = -80 + 0
16 + -8x = -80

Add '-16' to each side of the equation.
16 + -16 + -8x = -80 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = -80 + -16
-8x = -80 + -16

Combine like terms: -80 + -16 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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