5x=8x+13

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Solution for 5x=8x+13 equation: 


Simplifying
5x = 8x + 13

Reorder the terms:
5x = 13 + 8x

Solving
5x = 13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5x + -8x = 13 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-3x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3x = 13 + 0
-3x = 13

Divide each side by '-3'.
x = -4.333333333

Simplifying
x = -4.333333333

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