6(3x+9)=-3(x-2)

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Solution for 6(3x+9)=-3(x-2) equation:


Simplifying
6(3x + 9) = -3(x + -2)

Reorder the terms:
6(9 + 3x) = -3(x + -2)
(9 * 6 + 3x * 6) = -3(x + -2)
(54 + 18x) = -3(x + -2)

Reorder the terms:
54 + 18x = -3(-2 + x)
54 + 18x = (-2 * -3 + x * -3)
54 + 18x = (6 + -3x)

Solving
54 + 18x = 6 + -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.
54 + 18x + 3x = 6 + -3x + 3x

Combine like terms: 18x + 3x = 21x
54 + 21x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
54 + 21x = 6 + 0
54 + 21x = 6

Add '-54' to each side of the equation.
54 + -54 + 21x = 6 + -54

Combine like terms: 54 + -54 = 0
0 + 21x = 6 + -54
21x = 6 + -54

Combine like terms: 6 + -54 = -48
21x = -48

Divide each side by '21'.
x = -2.285714286

Simplifying
x = -2.285714286

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