5x-4=3x-22

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Solution for 5x-4=3x-22 equation:


Simplifying
5x + -4 = 3x + -22

Reorder the terms:
-4 + 5x = 3x + -22

Reorder the terms:
-4 + 5x = -22 + 3x

Solving
-4 + 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.
-4 + 5x + -3x = -22 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = -22 + 0
-4 + 2x = -22

Add '4' to each side of the equation.
-4 + 4 + 2x = -22 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = -22 + 4
2x = -22 + 4

Combine like terms: -22 + 4 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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