22-(x+9)=6x-8

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Solution for 22-(x+9)=6x-8 equation:


Simplifying
22 + -1(x + 9) = 6x + -8

Reorder the terms:
22 + -1(9 + x) = 6x + -8
22 + (9 * -1 + x * -1) = 6x + -8
22 + (-9 + -1x) = 6x + -8

Combine like terms: 22 + -9 = 13
13 + -1x = 6x + -8

Reorder the terms:
13 + -1x = -8 + 6x

Solving
13 + -1x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
13 + -1x + -6x = -8 + 6x + -6x

Combine like terms: -1x + -6x = -7x
13 + -7x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -7x = -8 + 0
13 + -7x = -8

Add '-13' to each side of the equation.
13 + -13 + -7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -8 + -13
-7x = -8 + -13

Combine like terms: -8 + -13 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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