8(2.5x-0.75)-0.25(1-x)=0.5

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Solution for 8(2.5x-0.75)-0.25(1-x)=0.5 equation: 


Simplifying
8(2.5x + -0.75) + -0.25(1 + -1x) = 0.5

Reorder the terms:
8(-0.75 + 2.5x) + -0.25(1 + -1x) = 0.5
(-0.75 * 8 + 2.5x * 8) + -0.25(1 + -1x) = 0.5
(-6 + 20x) + -0.25(1 + -1x) = 0.5
-6 + 20x + (1 * -0.25 + -1x * -0.25) = 0.5
-6 + 20x + (-0.25 + 0.25x) = 0.5

Reorder the terms:
-6 + -0.25 + 20x + 0.25x = 0.5

Combine like terms: -6 + -0.25 = -6.25
-6.25 + 20x + 0.25x = 0.5

Combine like terms: 20x + 0.25x = 20.25x
-6.25 + 20.25x = 0.5

Solving
-6.25 + 20.25x = 0.5

Solving for variable 'x'.

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

Add '6.25' to each side of the equation.
-6.25 + 6.25 + 20.25x = 0.5 + 6.25

Combine like terms: -6.25 + 6.25 = 0.00
0.00 + 20.25x = 0.5 + 6.25
20.25x = 0.5 + 6.25

Combine like terms: 0.5 + 6.25 = 6.75
20.25x = 6.75

Divide each side by '20.25'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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