0.25-0.5(x-3)=0.25(5-x)

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Solution for 0.25-0.5(x-3)=0.25(5-x) equation: 


Simplifying
0.25 + -0.5(x + -3) = 0.25(5 + -1x)

Reorder the terms:
0.25 + -0.5(-3 + x) = 0.25(5 + -1x)
0.25 + (-3 * -0.5 + x * -0.5) = 0.25(5 + -1x)
0.25 + (1.5 + -0.5x) = 0.25(5 + -1x)

Combine like terms: 0.25 + 1.5 = 1.75
1.75 + -0.5x = 0.25(5 + -1x)
1.75 + -0.5x = (5 * 0.25 + -1x * 0.25)
1.75 + -0.5x = (1.25 + -0.25x)

Solving
1.75 + -0.5x = 1.25 + -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.
1.75 + -0.5x + 0.25x = 1.25 + -0.25x + 0.25x

Combine like terms: -0.5x + 0.25x = -0.25x
1.75 + -0.25x = 1.25 + -0.25x + 0.25x

Combine like terms: -0.25x + 0.25x = 0.00
1.75 + -0.25x = 1.25 + 0.00
1.75 + -0.25x = 1.25

Add '-1.75' to each side of the equation.
1.75 + -1.75 + -0.25x = 1.25 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -0.25x = 1.25 + -1.75
-0.25x = 1.25 + -1.75

Combine like terms: 1.25 + -1.75 = -0.5
-0.25x = -0.5

Divide each side by '-0.25'.
x = 2

Simplifying
x = 2

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