0.5(x-5)=0.25(20-x)

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Solution for 0.5(x-5)=0.25(20-x) equation: 


Simplifying
0.5(x + -5) = 0.25(20 + -1x)

Reorder the terms:
0.5(-5 + x) = 0.25(20 + -1x)
(-5 * 0.5 + x * 0.5) = 0.25(20 + -1x)
(-2.5 + 0.5x) = 0.25(20 + -1x)
-2.5 + 0.5x = (20 * 0.25 + -1x * 0.25)
-2.5 + 0.5x = (5 + -0.25x)

Solving
-2.5 + 0.5x = 5 + -0.25x

Solving for variable 'x'.

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

Add '0.25x' to each side of the equation.
-2.5 + 0.5x + 0.25x = 5 + -0.25x + 0.25x

Combine like terms: 0.5x + 0.25x = 0.75x
-2.5 + 0.75x = 5 + -0.25x + 0.25x

Combine like terms: -0.25x + 0.25x = 0.00
-2.5 + 0.75x = 5 + 0.00
-2.5 + 0.75x = 5

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 0.75x = 5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.75x = 5 + 2.5
0.75x = 5 + 2.5

Combine like terms: 5 + 2.5 = 7.5
0.75x = 7.5

Divide each side by '0.75'.
x = 10

Simplifying
x = 10

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