8x+4(x+6)=-2(1-5x)+6

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Solution for 8x+4(x+6)=-2(1-5x)+6 equation: 


Simplifying
8x + 4(x + 6) = -2(1 + -5x) + 6

Reorder the terms:
8x + 4(6 + x) = -2(1 + -5x) + 6
8x + (6 * 4 + x * 4) = -2(1 + -5x) + 6
8x + (24 + 4x) = -2(1 + -5x) + 6

Reorder the terms:
24 + 8x + 4x = -2(1 + -5x) + 6

Combine like terms: 8x + 4x = 12x
24 + 12x = -2(1 + -5x) + 6
24 + 12x = (1 * -2 + -5x * -2) + 6
24 + 12x = (-2 + 10x) + 6

Reorder the terms:
24 + 12x = -2 + 6 + 10x

Combine like terms: -2 + 6 = 4
24 + 12x = 4 + 10x

Solving
24 + 12x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
24 + 12x + -10x = 4 + 10x + -10x

Combine like terms: 12x + -10x = 2x
24 + 2x = 4 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + 2x = 4 + 0
24 + 2x = 4

Add '-24' to each side of the equation.
24 + -24 + 2x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 4 + -24
2x = 4 + -24

Combine like terms: 4 + -24 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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