16-(-2x-4)-(5x-3x+2)=-4-(-8x+2)

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Solution for 16-(-2x-4)-(5x-3x+2)=-4-(-8x+2) equation:


Simplifying
16 + -1(-2x + -4) + -1(5x + -3x + 2) = -4 + -1(-8x + 2)

Reorder the terms:
16 + -1(-4 + -2x) + -1(5x + -3x + 2) = -4 + -1(-8x + 2)
16 + (-4 * -1 + -2x * -1) + -1(5x + -3x + 2) = -4 + -1(-8x + 2)
16 + (4 + 2x) + -1(5x + -3x + 2) = -4 + -1(-8x + 2)

Reorder the terms:
16 + 4 + 2x + -1(2 + 5x + -3x) = -4 + -1(-8x + 2)

Combine like terms: 5x + -3x = 2x
16 + 4 + 2x + -1(2 + 2x) = -4 + -1(-8x + 2)
16 + 4 + 2x + (2 * -1 + 2x * -1) = -4 + -1(-8x + 2)
16 + 4 + 2x + (-2 + -2x) = -4 + -1(-8x + 2)

Reorder the terms:
16 + 4 + -2 + 2x + -2x = -4 + -1(-8x + 2)

Combine like terms: 16 + 4 = 20
20 + -2 + 2x + -2x = -4 + -1(-8x + 2)

Combine like terms: 20 + -2 = 18
18 + 2x + -2x = -4 + -1(-8x + 2)

Combine like terms: 2x + -2x = 0
18 + 0 = -4 + -1(-8x + 2)
18 = -4 + -1(-8x + 2)

Reorder the terms:
18 = -4 + -1(2 + -8x)
18 = -4 + (2 * -1 + -8x * -1)
18 = -4 + (-2 + 8x)

Combine like terms: -4 + -2 = -6
18 = -6 + 8x

Solving
18 = -6 + 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.
18 + -8x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -8x = -6 + 0
18 + -8x = -6

Add '-18' to each side of the equation.
18 + -18 + -8x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -6 + -18
-8x = -6 + -18

Combine like terms: -6 + -18 = -24
-8x = -24

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

Simplifying
x = 3

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