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

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


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

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

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

Solving
8 + 6x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 6x + -9x = -18 + 9x + -9x

Combine like terms: 6x + -9x = -3x
8 + -3x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + -3x = -18 + 0
8 + -3x = -18

Add '-8' to each side of the equation.
8 + -8 + -3x = -18 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -18 + -8
-3x = -18 + -8

Combine like terms: -18 + -8 = -26
-3x = -26

Divide each side by '-3'.
x = 8.666666667

Simplifying
x = 8.666666667

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