.25(x+3)+x=x-.5

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Solution for .25(x+3)+x=x-.5 equation: 


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

Reorder the terms:
0.25(3 + x) + x = x + -0.5
(3 * 0.25 + x * 0.25) + x = x + -0.5
(0.75 + 0.25x) + x = x + -0.5

Combine like terms: 0.25x + x = 1.25x
0.75 + 1.25x = x + -0.5

Reorder the terms:
0.75 + 1.25x = -0.5 + x

Solving
0.75 + 1.25x = -0.5 + x

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.
0.75 + 1.25x + -1x = -0.5 + x + -1x

Combine like terms: 1.25x + -1x = 0.25x
0.75 + 0.25x = -0.5 + x + -1x

Combine like terms: x + -1x = 0
0.75 + 0.25x = -0.5 + 0
0.75 + 0.25x = -0.5

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 0.25x = -0.5 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.25x = -0.5 + -0.75
0.25x = -0.5 + -0.75

Combine like terms: -0.5 + -0.75 = -1.25
0.25x = -1.25

Divide each side by '0.25'.
x = -5

Simplifying
x = -5

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