5x+24=15x-56

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Solution for 5x+24=15x-56 equation:


Simplifying
5x + 24 = 15x + -56

Reorder the terms:
24 + 5x = 15x + -56

Reorder the terms:
24 + 5x = -56 + 15x

Solving
24 + 5x = -56 + 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 = -56 + 15x + -15x

Combine like terms: 5x + -15x = -10x
24 + -10x = -56 + 15x + -15x

Combine like terms: 15x + -15x = 0
24 + -10x = -56 + 0
24 + -10x = -56

Add '-24' to each side of the equation.
24 + -24 + -10x = -56 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -56 + -24
-10x = -56 + -24

Combine like terms: -56 + -24 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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