7x+22=2x-13

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Solution for 7x+22=2x-13 equation:


Simplifying
7x + 22 = 2x + -13

Reorder the terms:
22 + 7x = 2x + -13

Reorder the terms:
22 + 7x = -13 + 2x

Solving
22 + 7x = -13 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
22 + 7x + -2x = -13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
22 + 5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
22 + 5x = -13 + 0
22 + 5x = -13

Add '-22' to each side of the equation.
22 + -22 + 5x = -13 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = -13 + -22
5x = -13 + -22

Combine like terms: -13 + -22 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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