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

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


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

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

Reorder the terms:
18 + -6x = 3(9 + x)
18 + -6x = (9 * 3 + x * 3)
18 + -6x = (27 + 3x)

Solving
18 + -6x = 27 + 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 = 27 + 3x + -3x

Combine like terms: -6x + -3x = -9x
18 + -9x = 27 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -9x = 27 + 0
18 + -9x = 27

Add '-18' to each side of the equation.
18 + -18 + -9x = 27 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = 27 + -18
-9x = 27 + -18

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

Divide each side by '-9'.
x = -1

Simplifying
x = -1

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