5x-8=4x+22

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Solution for 5x-8=4x+22 equation:


Simplifying
5x + -8 = 4x + 22

Reorder the terms:
-8 + 5x = 4x + 22

Reorder the terms:
-8 + 5x = 22 + 4x

Solving
-8 + 5x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 5x + -4x = 22 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-8 + 1x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 1x = 22 + 0
-8 + 1x = 22

Add '8' to each side of the equation.
-8 + 8 + 1x = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 22 + 8
1x = 22 + 8

Combine like terms: 22 + 8 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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