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

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


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

Reorder the terms:
3(4 + -2(-3 + 5x) + -2x) = 8x + 8
3(4 + (-3 * -2 + 5x * -2) + -2x) = 8x + 8
3(4 + (6 + -10x) + -2x) = 8x + 8

Combine like terms: 4 + 6 = 10
3(10 + -10x + -2x) = 8x + 8

Combine like terms: -10x + -2x = -12x
3(10 + -12x) = 8x + 8
(10 * 3 + -12x * 3) = 8x + 8
(30 + -36x) = 8x + 8

Reorder the terms:
30 + -36x = 8 + 8x

Solving
30 + -36x = 8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
30 + -36x + -8x = 8 + 8x + -8x

Combine like terms: -36x + -8x = -44x
30 + -44x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
30 + -44x = 8 + 0
30 + -44x = 8

Add '-30' to each side of the equation.
30 + -30 + -44x = 8 + -30

Combine like terms: 30 + -30 = 0
0 + -44x = 8 + -30
-44x = 8 + -30

Combine like terms: 8 + -30 = -22
-44x = -22

Divide each side by '-44'.
x = 0.5

Simplifying
x = 0.5

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