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

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


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

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

Reorder the terms:
8 + -2x = -8 + x + -5x

Combine like terms: x + -5x = -4x
8 + -2x = -8 + -4x

Solving
8 + -2x = -8 + -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.
8 + -2x + 4x = -8 + -4x + 4x

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

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

Add '-8' to each side of the equation.
8 + -8 + 2x = -8 + -8

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

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

Divide each side by '2'.
x = -8

Simplifying
x = -8

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