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

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


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

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

Reorder the terms:
-6 + 6x + 6x = 9 + -3x

Combine like terms: 6x + 6x = 12x
-6 + 12x = 9 + -3x

Solving
-6 + 12x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6 + 12x + 3x = 9 + -3x + 3x

Combine like terms: 12x + 3x = 15x
-6 + 15x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 15x = 9 + 0
-6 + 15x = 9

Add '6' to each side of the equation.
-6 + 6 + 15x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 9 + 6
15x = 9 + 6

Combine like terms: 9 + 6 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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