x=0.5(x-4)-(5+x)

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Solution for x=0.5(x-4)-(5+x) equation: 


Simplifying
x = 0.5(x + -4) + -1(5 + x)

Reorder the terms:
x = 0.5(-4 + x) + -1(5 + x)
x = (-4 * 0.5 + x * 0.5) + -1(5 + x)
x = (-2 + 0.5x) + -1(5 + x)
x = -2 + 0.5x + (5 * -1 + x * -1)
x = -2 + 0.5x + (-5 + -1x)

Reorder the terms:
x = -2 + -5 + 0.5x + -1x

Combine like terms: -2 + -5 = -7
x = -7 + 0.5x + -1x

Combine like terms: 0.5x + -1x = -0.5x
x = -7 + -0.5x

Solving
x = -7 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
x + 0.5x = -7 + -0.5x + 0.5x

Combine like terms: x + 0.5x = 1.5x
1.5x = -7 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
1.5x = -7 + 0.0
1.5x = -7

Divide each side by '1.5'.
x = -4.666666667

Simplifying
x = -4.666666667

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