5x+8=13x-16

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Solution for 5x+8=13x-16 equation:


Simplifying
5x + 8 = 13x + -16

Reorder the terms:
8 + 5x = 13x + -16

Reorder the terms:
8 + 5x = -16 + 13x

Solving
8 + 5x = -16 + 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.
8 + 5x + -13x = -16 + 13x + -13x

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

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

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

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

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

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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