9x-5=13x+22

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Solution for 9x-5=13x+22 equation:


Simplifying
9x + -5 = 13x + 22

Reorder the terms:
-5 + 9x = 13x + 22

Reorder the terms:
-5 + 9x = 22 + 13x

Solving
-5 + 9x = 22 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-5 + 9x + -13x = 22 + 13x + -13x

Combine like terms: 9x + -13x = -4x
-5 + -4x = 22 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -4x = 22 + 0
-5 + -4x = 22

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

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

Combine like terms: 22 + 5 = 27
-4x = 27

Divide each side by '-4'.
x = -6.75

Simplifying
x = -6.75

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