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

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


Simplifying
9(3x + 6) = -1(x + -2)

Reorder the terms:
9(6 + 3x) = -1(x + -2)
(6 * 9 + 3x * 9) = -1(x + -2)
(54 + 27x) = -1(x + -2)

Reorder the terms:
54 + 27x = -1(-2 + x)
54 + 27x = (-2 * -1 + x * -1)
54 + 27x = (2 + -1x)

Solving
54 + 27x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
54 + 27x + x = 2 + -1x + x

Combine like terms: 27x + x = 28x
54 + 28x = 2 + -1x + x

Combine like terms: -1x + x = 0
54 + 28x = 2 + 0
54 + 28x = 2

Add '-54' to each side of the equation.
54 + -54 + 28x = 2 + -54

Combine like terms: 54 + -54 = 0
0 + 28x = 2 + -54
28x = 2 + -54

Combine like terms: 2 + -54 = -52
28x = -52

Divide each side by '28'.
x = -1.857142857

Simplifying
x = -1.857142857

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