6(2-x)-(5x+12)=8+3x-4

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Solution for 6(2-x)-(5x+12)=8+3x-4 equation: 


Simplifying
6(2 + -1x) + -1(5x + 12) = 8 + 3x + -4
(2 * 6 + -1x * 6) + -1(5x + 12) = 8 + 3x + -4
(12 + -6x) + -1(5x + 12) = 8 + 3x + -4

Reorder the terms:
12 + -6x + -1(12 + 5x) = 8 + 3x + -4
12 + -6x + (12 * -1 + 5x * -1) = 8 + 3x + -4
12 + -6x + (-12 + -5x) = 8 + 3x + -4

Reorder the terms:
12 + -12 + -6x + -5x = 8 + 3x + -4

Combine like terms: 12 + -12 = 0
0 + -6x + -5x = 8 + 3x + -4
-6x + -5x = 8 + 3x + -4

Combine like terms: -6x + -5x = -11x
-11x = 8 + 3x + -4

Reorder the terms:
-11x = 8 + -4 + 3x

Combine like terms: 8 + -4 = 4
-11x = 4 + 3x

Solving
-11x = 4 + 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.
-11x + -3x = 4 + 3x + -3x

Combine like terms: -11x + -3x = -14x
-14x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14x = 4 + 0
-14x = 4

Divide each side by '-14'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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