9x+22=16x-20

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Solution for 9x+22=16x-20 equation:


Simplifying
9x + 22 = 16x + -20

Reorder the terms:
22 + 9x = 16x + -20

Reorder the terms:
22 + 9x = -20 + 16x

Solving
22 + 9x = -20 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
22 + 9x + -16x = -20 + 16x + -16x

Combine like terms: 9x + -16x = -7x
22 + -7x = -20 + 16x + -16x

Combine like terms: 16x + -16x = 0
22 + -7x = -20 + 0
22 + -7x = -20

Add '-22' to each side of the equation.
22 + -22 + -7x = -20 + -22

Combine like terms: 22 + -22 = 0
0 + -7x = -20 + -22
-7x = -20 + -22

Combine like terms: -20 + -22 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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