8x-4(-5x-2)=12x+16

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Solution for 8x-4(-5x-2)=12x+16 equation:


Simplifying
8x + -4(-5x + -2) = 12x + 16

Reorder the terms:
8x + -4(-2 + -5x) = 12x + 16
8x + (-2 * -4 + -5x * -4) = 12x + 16
8x + (8 + 20x) = 12x + 16

Reorder the terms:
8 + 8x + 20x = 12x + 16

Combine like terms: 8x + 20x = 28x
8 + 28x = 12x + 16

Reorder the terms:
8 + 28x = 16 + 12x

Solving
8 + 28x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
8 + 28x + -12x = 16 + 12x + -12x

Combine like terms: 28x + -12x = 16x
8 + 16x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + 16x = 16 + 0
8 + 16x = 16

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

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

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

Divide each side by '16'.
x = 0.5

Simplifying
x = 0.5

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