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

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Solution for 0.25(x+2)=0.5(2x-1) equation: 


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

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

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

Solving
0.5 + 0.25x = -0.5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.5 + 0.25x + -1x = -0.5 + 1x + -1x

Combine like terms: 0.25x + -1x = -0.75x
0.5 + -0.75x = -0.5 + 1x + -1x

Combine like terms: 1x + -1x = 0
0.5 + -0.75x = -0.5 + 0
0.5 + -0.75x = -0.5

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

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

Combine like terms: -0.5 + -0.5 = -1
-0.75x = -1

Divide each side by '-0.75'.
x = 1.333333333

Simplifying
x = 1.333333333

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