2x+22=13x-42

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Solution for 2x+22=13x-42 equation:


Simplifying
2x + 22 = 13x + -42

Reorder the terms:
22 + 2x = 13x + -42

Reorder the terms:
22 + 2x = -42 + 13x

Solving
22 + 2x = -42 + 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 + 2x + -13x = -42 + 13x + -13x

Combine like terms: 2x + -13x = -11x
22 + -11x = -42 + 13x + -13x

Combine like terms: 13x + -13x = 0
22 + -11x = -42 + 0
22 + -11x = -42

Add '-22' to each side of the equation.
22 + -22 + -11x = -42 + -22

Combine like terms: 22 + -22 = 0
0 + -11x = -42 + -22
-11x = -42 + -22

Combine like terms: -42 + -22 = -64
-11x = -64

Divide each side by '-11'.
x = 5.818181818

Simplifying
x = 5.818181818

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