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

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


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

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

Remove parenthesis around (-3 + 3x)
-3 + 3x + 3(2x + 6) = 6x + -3

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

Reorder the terms:
-3 + 18 + 3x + 6x = 6x + -3

Combine like terms: -3 + 18 = 15
15 + 3x + 6x = 6x + -3

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

Reorder the terms:
15 + 9x = -3 + 6x

Solving
15 + 9x = -3 + 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.
15 + 9x + -6x = -3 + 6x + -6x

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

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

Add '-15' to each side of the equation.
15 + -15 + 3x = -3 + -15

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

Combine like terms: -3 + -15 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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