3(x+3)=6(x-1)-3

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Solution for 3(x+3)=6(x-1)-3 equation: 


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

Reorder the terms:
3(3 + x) = 6(x + -1) + -3
(3 * 3 + x * 3) = 6(x + -1) + -3
(9 + 3x) = 6(x + -1) + -3

Reorder the terms:
9 + 3x = 6(-1 + x) + -3
9 + 3x = (-1 * 6 + x * 6) + -3
9 + 3x = (-6 + 6x) + -3

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

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

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

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

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

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

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

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

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

Simplifying
x = 6

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