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

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


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

Reorder the terms:
0.5(-5 + x) = 3 + -1(x + 0.25)
(-5 * 0.5 + x * 0.5) = 3 + -1(x + 0.25)
(-2.5 + 0.5x) = 3 + -1(x + 0.25)

Reorder the terms:
-2.5 + 0.5x = 3 + -1(0.25 + x)
-2.5 + 0.5x = 3 + (0.25 * -1 + x * -1)
-2.5 + 0.5x = 3 + (-0.25 + -1x)

Combine like terms: 3 + -0.25 = 2.75
-2.5 + 0.5x = 2.75 + -1x

Solving
-2.5 + 0.5x = 2.75 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2.5 + 0.5x + x = 2.75 + -1x + x

Combine like terms: 0.5x + x = 1.5x
-2.5 + 1.5x = 2.75 + -1x + x

Combine like terms: -1x + x = 0
-2.5 + 1.5x = 2.75 + 0
-2.5 + 1.5x = 2.75

Add '2.5' to each side of the equation.
-2.5 + 2.5 + 1.5x = 2.75 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 1.5x = 2.75 + 2.5
1.5x = 2.75 + 2.5

Combine like terms: 2.75 + 2.5 = 5.25
1.5x = 5.25

Divide each side by '1.5'.
x = 3.5

Simplifying
x = 3.5

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