9x-6=5x+22

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Solution for 9x-6=5x+22 equation:


Simplifying
9x + -6 = 5x + 22

Reorder the terms:
-6 + 9x = 5x + 22

Reorder the terms:
-6 + 9x = 22 + 5x

Solving
-6 + 9x = 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.
-6 + 9x + -5x = 22 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-6 + 4x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 4x = 22 + 0
-6 + 4x = 22

Add '6' to each side of the equation.
-6 + 6 + 4x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 22 + 6
4x = 22 + 6

Combine like terms: 22 + 6 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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