x=0.5(x-5)+(2x-4)

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Solution for x=0.5(x-5)+(2x-4) equation:


Simplifying
x = 0.5(x + -5) + (2x + -4)

Reorder the terms:
x = 0.5(-5 + x) + (2x + -4)
x = (-5 * 0.5 + x * 0.5) + (2x + -4)
x = (-2.5 + 0.5x) + (2x + -4)

Reorder the terms:
x = -2.5 + 0.5x + (-4 + 2x)

Remove parenthesis around (-4 + 2x)
x = -2.5 + 0.5x + -4 + 2x

Reorder the terms:
x = -2.5 + -4 + 0.5x + 2x

Combine like terms: -2.5 + -4 = -6.5
x = -6.5 + 0.5x + 2x

Combine like terms: 0.5x + 2x = 2.5x
x = -6.5 + 2.5x

Solving
x = -6.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
x + -2.5x = -6.5 + 2.5x + -2.5x

Combine like terms: x + -2.5x = -1.5x
-1.5x = -6.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-1.5x = -6.5 + 0.0
-1.5x = -6.5

Divide each side by '-1.5'.
x = 4.333333333

Simplifying
x = 4.333333333

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