(6x)-(-3x+27)=12-4x

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Solution for (6x)-(-3x+27)=12-4x equation:


Simplifying
(6x) + -1(-3x + 27) = 12 + -4x

Reorder the terms:
(6x) + -1(27 + -3x) = 12 + -4x
(6x) + (27 * -1 + -3x * -1) = 12 + -4x
(6x) + (-27 + 3x) = 12 + -4x

Reorder the terms:
-27 + (6x) + 3x = 12 + -4x

Combine like terms: (6x) + 3x = 9x
-27 + 9x = 12 + -4x

Solving
-27 + 9x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-27 + 9x + 4x = 12 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-27 + 13x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-27 + 13x = 12 + 0
-27 + 13x = 12

Add '27' to each side of the equation.
-27 + 27 + 13x = 12 + 27

Combine like terms: -27 + 27 = 0
0 + 13x = 12 + 27
13x = 12 + 27

Combine like terms: 12 + 27 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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