5x-2=3x-22

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Solution for 5x-2=3x-22 equation:


Simplifying
5x + -2 = 3x + -22

Reorder the terms:
-2 + 5x = 3x + -22

Reorder the terms:
-2 + 5x = -22 + 3x

Solving
-2 + 5x = -22 + 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.
-2 + 5x + -3x = -22 + 3x + -3x

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

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

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

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

Combine like terms: -22 + 2 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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