9(3x+2)-(4x-6)=x

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Solution for 9(3x+2)-(4x-6)=x equation: 


Simplifying
9(3x + 2) + -1(4x + -6) = x

Reorder the terms:
9(2 + 3x) + -1(4x + -6) = x
(2 * 9 + 3x * 9) + -1(4x + -6) = x
(18 + 27x) + -1(4x + -6) = x

Reorder the terms:
18 + 27x + -1(-6 + 4x) = x
18 + 27x + (-6 * -1 + 4x * -1) = x
18 + 27x + (6 + -4x) = x

Reorder the terms:
18 + 6 + 27x + -4x = x

Combine like terms: 18 + 6 = 24
24 + 27x + -4x = x

Combine like terms: 27x + -4x = 23x
24 + 23x = x

Solving
24 + 23x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + 23x + -1x = x + -1x

Combine like terms: 23x + -1x = 22x
24 + 22x = x + -1x

Combine like terms: x + -1x = 0
24 + 22x = 0

Add '-24' to each side of the equation.
24 + -24 + 22x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 22x = 0 + -24
22x = 0 + -24

Combine like terms: 0 + -24 = -24
22x = -24

Divide each side by '22'.
x = -1.090909091

Simplifying
x = -1.090909091

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