8-0.5(x+3)=0.25(x-1)

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Solution for 8-0.5(x+3)=0.25(x-1) equation: 


Simplifying
8 + -0.5(x + 3) = 0.25(x + -1)

Reorder the terms:
8 + -0.5(3 + x) = 0.25(x + -1)
8 + (3 * -0.5 + x * -0.5) = 0.25(x + -1)
8 + (-1.5 + -0.5x) = 0.25(x + -1)

Combine like terms: 8 + -1.5 = 6.5
6.5 + -0.5x = 0.25(x + -1)

Reorder the terms:
6.5 + -0.5x = 0.25(-1 + x)
6.5 + -0.5x = (-1 * 0.25 + x * 0.25)
6.5 + -0.5x = (-0.25 + 0.25x)

Solving
6.5 + -0.5x = -0.25 + 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.
6.5 + -0.5x + -0.25x = -0.25 + 0.25x + -0.25x

Combine like terms: -0.5x + -0.25x = -0.75x
6.5 + -0.75x = -0.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
6.5 + -0.75x = -0.25 + 0.00
6.5 + -0.75x = -0.25

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.75x = -0.25 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.75x = -0.25 + -6.5
-0.75x = -0.25 + -6.5

Combine like terms: -0.25 + -6.5 = -6.75
-0.75x = -6.75

Divide each side by '-0.75'.
x = 9

Simplifying
x = 9

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