4(6+2x)+5(2-x)=-3(x+6)-8

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Solution for 4(6+2x)+5(2-x)=-3(x+6)-8 equation: 


Simplifying
4(6 + 2x) + 5(2 + -1x) = -3(x + 6) + -8
(6 * 4 + 2x * 4) + 5(2 + -1x) = -3(x + 6) + -8
(24 + 8x) + 5(2 + -1x) = -3(x + 6) + -8
24 + 8x + (2 * 5 + -1x * 5) = -3(x + 6) + -8
24 + 8x + (10 + -5x) = -3(x + 6) + -8

Reorder the terms:
24 + 10 + 8x + -5x = -3(x + 6) + -8

Combine like terms: 24 + 10 = 34
34 + 8x + -5x = -3(x + 6) + -8

Combine like terms: 8x + -5x = 3x
34 + 3x = -3(x + 6) + -8

Reorder the terms:
34 + 3x = -3(6 + x) + -8
34 + 3x = (6 * -3 + x * -3) + -8
34 + 3x = (-18 + -3x) + -8

Reorder the terms:
34 + 3x = -18 + -8 + -3x

Combine like terms: -18 + -8 = -26
34 + 3x = -26 + -3x

Solving
34 + 3x = -26 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
34 + 3x + 3x = -26 + -3x + 3x

Combine like terms: 3x + 3x = 6x
34 + 6x = -26 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + 6x = -26 + 0
34 + 6x = -26

Add '-34' to each side of the equation.
34 + -34 + 6x = -26 + -34

Combine like terms: 34 + -34 = 0
0 + 6x = -26 + -34
6x = -26 + -34

Combine like terms: -26 + -34 = -60
6x = -60

Divide each side by '6'.
x = -10

Simplifying
x = -10

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