5x+42=13x-22

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Solution for 5x+42=13x-22 equation:


Simplifying
5x + 42 = 13x + -22

Reorder the terms:
42 + 5x = 13x + -22

Reorder the terms:
42 + 5x = -22 + 13x

Solving
42 + 5x = -22 + 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.
42 + 5x + -13x = -22 + 13x + -13x

Combine like terms: 5x + -13x = -8x
42 + -8x = -22 + 13x + -13x

Combine like terms: 13x + -13x = 0
42 + -8x = -22 + 0
42 + -8x = -22

Add '-42' to each side of the equation.
42 + -42 + -8x = -22 + -42

Combine like terms: 42 + -42 = 0
0 + -8x = -22 + -42
-8x = -22 + -42

Combine like terms: -22 + -42 = -64
-8x = -64

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

Simplifying
x = 8

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