10x-4(-4+2x)=3(-2x+4)-20

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Solution for 10x-4(-4+2x)=3(-2x+4)-20 equation: 


Simplifying
10x + -4(-4 + 2x) = 3(-2x + 4) + -20
10x + (-4 * -4 + 2x * -4) = 3(-2x + 4) + -20
10x + (16 + -8x) = 3(-2x + 4) + -20

Reorder the terms:
16 + 10x + -8x = 3(-2x + 4) + -20

Combine like terms: 10x + -8x = 2x
16 + 2x = 3(-2x + 4) + -20

Reorder the terms:
16 + 2x = 3(4 + -2x) + -20
16 + 2x = (4 * 3 + -2x * 3) + -20
16 + 2x = (12 + -6x) + -20

Reorder the terms:
16 + 2x = 12 + -20 + -6x

Combine like terms: 12 + -20 = -8
16 + 2x = -8 + -6x

Solving
16 + 2x = -8 + -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.
16 + 2x + 6x = -8 + -6x + 6x

Combine like terms: 2x + 6x = 8x
16 + 8x = -8 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 8x = -8 + 0
16 + 8x = -8

Add '-16' to each side of the equation.
16 + -16 + 8x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 8x = -8 + -16
8x = -8 + -16

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

Divide each side by '8'.
x = -3

Simplifying
x = -3

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