-(3x-6)=2(3x-8)

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


Simplifying
-1(3x + -6) = 2(3x + -8)

Reorder the terms:
-1(-6 + 3x) = 2(3x + -8)
(-6 * -1 + 3x * -1) = 2(3x + -8)
(6 + -3x) = 2(3x + -8)

Reorder the terms:
6 + -3x = 2(-8 + 3x)
6 + -3x = (-8 * 2 + 3x * 2)
6 + -3x = (-16 + 6x)

Solving
6 + -3x = -16 + 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.
6 + -3x + -6x = -16 + 6x + -6x

Combine like terms: -3x + -6x = -9x
6 + -9x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -9x = -16 + 0
6 + -9x = -16

Add '-6' to each side of the equation.
6 + -6 + -9x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -16 + -6
-9x = -16 + -6

Combine like terms: -16 + -6 = -22
-9x = -22

Divide each side by '-9'.
x = 2.444444444

Simplifying
x = 2.444444444

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