6(12-12x)+11(11+3x)=310

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Solution for 6(12-12x)+11(11+3x)=310 equation: 


Simplifying
6(12 + -12x) + 11(11 + 3x) = 310
(12 * 6 + -12x * 6) + 11(11 + 3x) = 310
(72 + -72x) + 11(11 + 3x) = 310
72 + -72x + (11 * 11 + 3x * 11) = 310
72 + -72x + (121 + 33x) = 310

Reorder the terms:
72 + 121 + -72x + 33x = 310

Combine like terms: 72 + 121 = 193
193 + -72x + 33x = 310

Combine like terms: -72x + 33x = -39x
193 + -39x = 310

Solving
193 + -39x = 310

Solving for variable 'x'.

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

Add '-193' to each side of the equation.
193 + -193 + -39x = 310 + -193

Combine like terms: 193 + -193 = 0
0 + -39x = 310 + -193
-39x = 310 + -193

Combine like terms: 310 + -193 = 117
-39x = 117

Divide each side by '-39'.
x = -3

Simplifying
x = -3

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