2x-6=9x+22

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Solution for 2x-6=9x+22 equation:


Simplifying
2x + -6 = 9x + 22

Reorder the terms:
-6 + 2x = 9x + 22

Reorder the terms:
-6 + 2x = 22 + 9x

Solving
-6 + 2x = 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.
-6 + 2x + -9x = 22 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-6 + -7x = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -7x = 22 + 0
-6 + -7x = 22

Add '6' to each side of the equation.
-6 + 6 + -7x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 22 + 6
-7x = 22 + 6

Combine like terms: 22 + 6 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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