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

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


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

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

Reorder the terms:
18 + 6x = 3(-3 + x)
18 + 6x = (-3 * 3 + x * 3)
18 + 6x = (-9 + 3x)

Solving
18 + 6x = -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.
18 + 6x + -3x = -9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
18 + 3x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 3x = -9 + 0
18 + 3x = -9

Add '-18' to each side of the equation.
18 + -18 + 3x = -9 + -18

Combine like terms: 18 + -18 = 0
0 + 3x = -9 + -18
3x = -9 + -18

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

Divide each side by '3'.
x = -9

Simplifying
x = -9

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