8(3x+6)+(5-6x)*2=0

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Solution for 8(3x+6)+(5-6x)*2=0 equation: 


Simplifying
8(3x + 6) + (5 + -6x) * 2 = 0

Reorder the terms:
8(6 + 3x) + (5 + -6x) * 2 = 0
(6 * 8 + 3x * 8) + (5 + -6x) * 2 = 0
(48 + 24x) + (5 + -6x) * 2 = 0

Reorder the terms for easier multiplication:
48 + 24x + 2(5 + -6x) = 0
48 + 24x + (5 * 2 + -6x * 2) = 0
48 + 24x + (10 + -12x) = 0

Reorder the terms:
48 + 10 + 24x + -12x = 0

Combine like terms: 48 + 10 = 58
58 + 24x + -12x = 0

Combine like terms: 24x + -12x = 12x
58 + 12x = 0

Solving
58 + 12x = 0

Solving for variable 'x'.

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

Add '-58' to each side of the equation.
58 + -58 + 12x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + 12x = 0 + -58
12x = 0 + -58

Combine like terms: 0 + -58 = -58
12x = -58

Divide each side by '12'.
x = -4.833333333

Simplifying
x = -4.833333333

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