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

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Solution for 0.25(x+2)=0.5(5-x) equation: 


Simplifying
0.25(x + 2) = 0.5(5 + -1x)

Reorder the terms:
0.25(2 + x) = 0.5(5 + -1x)
(2 * 0.25 + x * 0.25) = 0.5(5 + -1x)
(0.5 + 0.25x) = 0.5(5 + -1x)
0.5 + 0.25x = (5 * 0.5 + -1x * 0.5)
0.5 + 0.25x = (2.5 + -0.5x)

Solving
0.5 + 0.25x = 2.5 + -0.5x

Solving for variable 'x'.

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

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

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

Combine like terms: -0.5x + 0.5x = 0.0
0.5 + 0.75x = 2.5 + 0.0
0.5 + 0.75x = 2.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.75x = 2.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.75x = 2.5 + -0.5
0.75x = 2.5 + -0.5

Combine like terms: 2.5 + -0.5 = 2
0.75x = 2

Divide each side by '0.75'.
x = 2.666666667

Simplifying
x = 2.666666667

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