3x+27=(-6)(x-3)

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Solution for 3x+27=(-6)(x-3) equation:


Simplifying
3x + 27 = (-6)(x + -3)

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

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

Solving
27 + 3x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
27 + 3x + 6x = 18 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
27 + 9x = 18 + 0
27 + 9x = 18

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

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

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

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

Simplifying
x = -1

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