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

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


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

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

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

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

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

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

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

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

Reorder the terms:
18 = -2 + -4x + 8x

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

Solving
18 = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + -4x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -4x = -2 + 0
18 + -4x = -2

Add '-18' to each side of the equation.
18 + -18 + -4x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -2 + -18
-4x = -2 + -18

Combine like terms: -2 + -18 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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