12(x+3)=.3(x-27)

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Solution for 12(x+3)=.3(x-27) equation: 


Simplifying
12(x + 3) = 0.3(x + -27)

Reorder the terms:
12(3 + x) = 0.3(x + -27)
(3 * 12 + x * 12) = 0.3(x + -27)
(36 + 12x) = 0.3(x + -27)

Reorder the terms:
36 + 12x = 0.3(-27 + x)
36 + 12x = (-27 * 0.3 + x * 0.3)
36 + 12x = (-8.1 + 0.3x)

Solving
36 + 12x = -8.1 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
36 + 12x + -0.3x = -8.1 + 0.3x + -0.3x

Combine like terms: 12x + -0.3x = 11.7x
36 + 11.7x = -8.1 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
36 + 11.7x = -8.1 + 0.0
36 + 11.7x = -8.1

Add '-36' to each side of the equation.
36 + -36 + 11.7x = -8.1 + -36

Combine like terms: 36 + -36 = 0
0 + 11.7x = -8.1 + -36
11.7x = -8.1 + -36

Combine like terms: -8.1 + -36 = -44.1
11.7x = -44.1

Divide each side by '11.7'.
x = -3.769230769

Simplifying
x = -3.769230769

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