5x-24=15x-89

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Solution for 5x-24=15x-89 equation:


Simplifying
5x + -24 = 15x + -89

Reorder the terms:
-24 + 5x = 15x + -89

Reorder the terms:
-24 + 5x = -89 + 15x

Solving
-24 + 5x = -89 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-24 + 5x + -15x = -89 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-24 + -10x = -89 + 15x + -15x

Combine like terms: 15x + -15x = 0
-24 + -10x = -89 + 0
-24 + -10x = -89

Add '24' to each side of the equation.
-24 + 24 + -10x = -89 + 24

Combine like terms: -24 + 24 = 0
0 + -10x = -89 + 24
-10x = -89 + 24

Combine like terms: -89 + 24 = -65
-10x = -65

Divide each side by '-10'.
x = 6.5

Simplifying
x = 6.5

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