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

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


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

Reorder the terms:
8(2 + x) + 4(x + 2) = 6x + -6
(2 * 8 + x * 8) + 4(x + 2) = 6x + -6
(16 + 8x) + 4(x + 2) = 6x + -6

Reorder the terms:
16 + 8x + 4(2 + x) = 6x + -6
16 + 8x + (2 * 4 + x * 4) = 6x + -6
16 + 8x + (8 + 4x) = 6x + -6

Reorder the terms:
16 + 8 + 8x + 4x = 6x + -6

Combine like terms: 16 + 8 = 24
24 + 8x + 4x = 6x + -6

Combine like terms: 8x + 4x = 12x
24 + 12x = 6x + -6

Reorder the terms:
24 + 12x = -6 + 6x

Solving
24 + 12x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 12x + -6x = -6 + 6x + -6x

Combine like terms: 12x + -6x = 6x
24 + 6x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + 6x = -6 + 0
24 + 6x = -6

Add '-24' to each side of the equation.
24 + -24 + 6x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = -6 + -24
6x = -6 + -24

Combine like terms: -6 + -24 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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