5x+22=3x-26

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Solution for 5x+22=3x-26 equation:


Simplifying
5x + 22 = 3x + -26

Reorder the terms:
22 + 5x = 3x + -26

Reorder the terms:
22 + 5x = -26 + 3x

Solving
22 + 5x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + 5x + -3x = -26 + 3x + -3x

Combine like terms: 5x + -3x = 2x
22 + 2x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + 2x = -26 + 0
22 + 2x = -26

Add '-22' to each side of the equation.
22 + -22 + 2x = -26 + -22

Combine like terms: 22 + -22 = 0
0 + 2x = -26 + -22
2x = -26 + -22

Combine like terms: -26 + -22 = -48
2x = -48

Divide each side by '2'.
x = -24

Simplifying
x = -24

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