6(x+2)+3(x+4)=11x-8

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Solution for 6(x+2)+3(x+4)=11x-8 equation: 


Simplifying
6(x + 2) + 3(x + 4) = 11x + -8

Reorder the terms:
6(2 + x) + 3(x + 4) = 11x + -8
(2 * 6 + x * 6) + 3(x + 4) = 11x + -8
(12 + 6x) + 3(x + 4) = 11x + -8

Reorder the terms:
12 + 6x + 3(4 + x) = 11x + -8
12 + 6x + (4 * 3 + x * 3) = 11x + -8
12 + 6x + (12 + 3x) = 11x + -8

Reorder the terms:
12 + 12 + 6x + 3x = 11x + -8

Combine like terms: 12 + 12 = 24
24 + 6x + 3x = 11x + -8

Combine like terms: 6x + 3x = 9x
24 + 9x = 11x + -8

Reorder the terms:
24 + 9x = -8 + 11x

Solving
24 + 9x = -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.
24 + 9x + -11x = -8 + 11x + -11x

Combine like terms: 9x + -11x = -2x
24 + -2x = -8 + 11x + -11x

Combine like terms: 11x + -11x = 0
24 + -2x = -8 + 0
24 + -2x = -8

Add '-24' to each side of the equation.
24 + -24 + -2x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -8 + -24
-2x = -8 + -24

Combine like terms: -8 + -24 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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