27x-13(6x)+(12-4)8+15x+16(-3x)4+12(4)=-12

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Solution for 27x-13(6x)+(12-4)8+15x+16(-3x)4+12(4)=-12 equation: 


Simplifying
27x + -13(6x) + (12 + -4) * 8 + 15x + 16(-3x) * 4 + 12(4) = -12

Remove parenthesis around (6x)
27x + -13 * 6x + (12 + -4) * 8 + 15x + 16(-3x) * 4 + 12(4) = -12

Multiply -13 * 6
27x + -78x + (12 + -4) * 8 + 15x + 16(-3x) * 4 + 12(4) = -12

Combine like terms: 12 + -4 = 8
27x + -78x + (8) * 8 + 15x + 16(-3x) * 4 + 12(4) = -12

Multiply 8 * 8
27x + -78x + 64 + 15x + 16(-3x) * 4 + 12(4) = -12

Remove parenthesis around (-3x)
27x + -78x + 64 + 15x + 16 * -3x * 4 + 12(4) = -12

Reorder the terms for easier multiplication:
27x + -78x + 64 + 15x + 16 * -3 * 4x + 12(4) = -12

Multiply 16 * -3
27x + -78x + 64 + 15x + -48 * 4x + 12(4) = -12

Multiply -48 * 4
27x + -78x + 64 + 15x + -192x + 12(4) = -12

Multiply 12 * 4
27x + -78x + 64 + 15x + -192x + 48 = -12

Reorder the terms:
64 + 48 + 27x + -78x + 15x + -192x = -12

Combine like terms: 64 + 48 = 112
112 + 27x + -78x + 15x + -192x = -12

Combine like terms: 27x + -78x = -51x
112 + -51x + 15x + -192x = -12

Combine like terms: -51x + 15x = -36x
112 + -36x + -192x = -12

Combine like terms: -36x + -192x = -228x
112 + -228x = -12

Solving
112 + -228x = -12

Solving for variable 'x'.

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

Add '-112' to each side of the equation.
112 + -112 + -228x = -12 + -112

Combine like terms: 112 + -112 = 0
0 + -228x = -12 + -112
-228x = -12 + -112

Combine like terms: -12 + -112 = -124
-228x = -124

Divide each side by '-228'.
x = 0.5438596491

Simplifying
x = 0.5438596491

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