3(x+12)=11x-8

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


Simplifying
3(x + 12) = 11x + -8

Reorder the terms:
3(12 + x) = 11x + -8
(12 * 3 + x * 3) = 11x + -8
(36 + 3x) = 11x + -8

Reorder the terms:
36 + 3x = -8 + 11x

Solving
36 + 3x = -8 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
36 + 3x + -11x = -8 + 11x + -11x

Combine like terms: 3x + -11x = -8x
36 + -8x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
36 + -8x = -8 + 0
36 + -8x = -8

Add '-36' to each side of the equation.
36 + -36 + -8x = -8 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = -8 + -36
-8x = -8 + -36

Combine like terms: -8 + -36 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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