6(x+3)=9x-9

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


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

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

Reorder the terms:
18 + 6x = -9 + 9x

Solving
18 + 6x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
18 + 6x + -9x = -9 + 9x + -9x

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

Combine like terms: 9x + -9x = 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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