3x-5=9x+22

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Solution for 3x-5=9x+22 equation:


Simplifying
3x + -5 = 9x + 22

Reorder the terms:
-5 + 3x = 9x + 22

Reorder the terms:
-5 + 3x = 22 + 9x

Solving
-5 + 3x = 22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 3x + -9x = 22 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-5 + -6x = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -6x = 22 + 0
-5 + -6x = 22

Add '5' to each side of the equation.
-5 + 5 + -6x = 22 + 5

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

Combine like terms: 22 + 5 = 27
-6x = 27

Divide each side by '-6'.
x = -4.5

Simplifying
x = -4.5

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