12+2x=3(-x+8)-27

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Solution for 12+2x=3(-x+8)-27 equation:


Simplifying
12 + 2x = 3(-1x + 8) + -27

Reorder the terms:
12 + 2x = 3(8 + -1x) + -27
12 + 2x = (8 * 3 + -1x * 3) + -27
12 + 2x = (24 + -3x) + -27

Reorder the terms:
12 + 2x = 24 + -27 + -3x

Combine like terms: 24 + -27 = -3
12 + 2x = -3 + -3x

Solving
12 + 2x = -3 + -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.
12 + 2x + 3x = -3 + -3x + 3x

Combine like terms: 2x + 3x = 5x
12 + 5x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 5x = -3 + 0
12 + 5x = -3

Add '-12' to each side of the equation.
12 + -12 + 5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -3 + -12
5x = -3 + -12

Combine like terms: -3 + -12 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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