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

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


Simplifying
3x + -6(3 + -4x) = 9x + -2
3x + (3 * -6 + -4x * -6) = 9x + -2
3x + (-18 + 24x) = 9x + -2

Reorder the terms:
-18 + 3x + 24x = 9x + -2

Combine like terms: 3x + 24x = 27x
-18 + 27x = 9x + -2

Reorder the terms:
-18 + 27x = -2 + 9x

Solving
-18 + 27x = -2 + 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.
-18 + 27x + -9x = -2 + 9x + -9x

Combine like terms: 27x + -9x = 18x
-18 + 18x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
-18 + 18x = -2 + 0
-18 + 18x = -2

Add '18' to each side of the equation.
-18 + 18 + 18x = -2 + 18

Combine like terms: -18 + 18 = 0
0 + 18x = -2 + 18
18x = -2 + 18

Combine like terms: -2 + 18 = 16
18x = 16

Divide each side by '18'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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