3(1+11x)=8(-12+6x)-14

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Solution for 3(1+11x)=8(-12+6x)-14 equation: 


Simplifying
3(1 + 11x) = 8(-12 + 6x) + -14
(1 * 3 + 11x * 3) = 8(-12 + 6x) + -14
(3 + 33x) = 8(-12 + 6x) + -14
3 + 33x = (-12 * 8 + 6x * 8) + -14
3 + 33x = (-96 + 48x) + -14

Reorder the terms:
3 + 33x = -96 + -14 + 48x

Combine like terms: -96 + -14 = -110
3 + 33x = -110 + 48x

Solving
3 + 33x = -110 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
3 + 33x + -48x = -110 + 48x + -48x

Combine like terms: 33x + -48x = -15x
3 + -15x = -110 + 48x + -48x

Combine like terms: 48x + -48x = 0
3 + -15x = -110 + 0
3 + -15x = -110

Add '-3' to each side of the equation.
3 + -3 + -15x = -110 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = -110 + -3
-15x = -110 + -3

Combine like terms: -110 + -3 = -113
-15x = -113

Divide each side by '-15'.
x = 7.533333333

Simplifying
x = 7.533333333

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