-2(x-9)-3x+6=7x-8

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Solution for -2(x-9)-3x+6=7x-8 equation: 


Simplifying
-2(x + -9) + -3x + 6 = 7x + -8

Reorder the terms:
-2(-9 + x) + -3x + 6 = 7x + -8
(-9 * -2 + x * -2) + -3x + 6 = 7x + -8
(18 + -2x) + -3x + 6 = 7x + -8

Reorder the terms:
18 + 6 + -2x + -3x = 7x + -8

Combine like terms: 18 + 6 = 24
24 + -2x + -3x = 7x + -8

Combine like terms: -2x + -3x = -5x
24 + -5x = 7x + -8

Reorder the terms:
24 + -5x = -8 + 7x

Solving
24 + -5x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + -5x + -7x = -8 + 7x + -7x

Combine like terms: -5x + -7x = -12x
24 + -12x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + -12x = -8 + 0
24 + -12x = -8

Add '-24' to each side of the equation.
24 + -24 + -12x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -12x = -8 + -24
-12x = -8 + -24

Combine like terms: -8 + -24 = -32
-12x = -32

Divide each side by '-12'.
x = 2.666666667

Simplifying
x = 2.666666667

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