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

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


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

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

Reorder the terms:
9 + 3x = 6(-6 + x)
9 + 3x = (-6 * 6 + x * 6)
9 + 3x = (-36 + 6x)

Solving
9 + 3x = -36 + 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 = -36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
9 + -3x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -3x = -36 + 0
9 + -3x = -36

Add '-9' to each side of the equation.
9 + -9 + -3x = -36 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -36 + -9
-3x = -36 + -9

Combine like terms: -36 + -9 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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