0.5*(x-4)+0.25*(20-x)=0

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Solution for 0.5*(x-4)+0.25*(20-x)=0 equation: 


Simplifying
0.5(x + -4) + 0.25(20 + -1x) = 0

Reorder the terms:
0.5(-4 + x) + 0.25(20 + -1x) = 0
(-4 * 0.5 + x * 0.5) + 0.25(20 + -1x) = 0
(-2 + 0.5x) + 0.25(20 + -1x) = 0
-2 + 0.5x + (20 * 0.25 + -1x * 0.25) = 0
-2 + 0.5x + (5 + -0.25x) = 0

Reorder the terms:
-2 + 5 + 0.5x + -0.25x = 0

Combine like terms: -2 + 5 = 3
3 + 0.5x + -0.25x = 0

Combine like terms: 0.5x + -0.25x = 0.25x
3 + 0.25x = 0

Solving
3 + 0.25x = 0

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 0.25x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 0.25x = 0 + -3
0.25x = 0 + -3

Combine like terms: 0 + -3 = -3
0.25x = -3

Divide each side by '0.25'.
x = -12

Simplifying
x = -12

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