3x-4=5x+22

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


Simplifying
3x + -4 = 5x + 22

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

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

Solving
-4 + 3x = 22 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 3x + -5x = 22 + 5x + -5x

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

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

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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