5x+22=13x-58

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Solution for 5x+22=13x-58 equation:


Simplifying
5x + 22 = 13x + -58

Reorder the terms:
22 + 5x = 13x + -58

Reorder the terms:
22 + 5x = -58 + 13x

Solving
22 + 5x = -58 + 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.
22 + 5x + -13x = -58 + 13x + -13x

Combine like terms: 5x + -13x = -8x
22 + -8x = -58 + 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -8x = -58 + 0
22 + -8x = -58

Add '-22' to each side of the equation.
22 + -22 + -8x = -58 + -22

Combine like terms: 22 + -22 = 0
0 + -8x = -58 + -22
-8x = -58 + -22

Combine like terms: -58 + -22 = -80
-8x = -80

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

Simplifying
x = 10

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