5x+22=15x-58

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Solution for 5x+22=15x-58 equation:


Simplifying
5x + 22 = 15x + -58

Reorder the terms:
22 + 5x = 15x + -58

Reorder the terms:
22 + 5x = -58 + 15x

Solving
22 + 5x = -58 + 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.
22 + 5x + -15x = -58 + 15x + -15x

Combine like terms: 5x + -15x = -10x
22 + -10x = -58 + 15x + -15x

Combine like terms: 15x + -15x = 0
22 + -10x = -58 + 0
22 + -10x = -58

Add '-22' to each side of the equation.
22 + -22 + -10x = -58 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -58 + -22
-10x = -58 + -22

Combine like terms: -58 + -22 = -80
-10x = -80

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

Simplifying
x = 8

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