0.25(x+8)=0.75(x-10)

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Solution for 0.25(x+8)=0.75(x-10) equation: 


Simplifying
0.25(x + 8) = 0.75(x + -10)

Reorder the terms:
0.25(8 + x) = 0.75(x + -10)
(8 * 0.25 + x * 0.25) = 0.75(x + -10)
(2 + 0.25x) = 0.75(x + -10)

Reorder the terms:
2 + 0.25x = 0.75(-10 + x)
2 + 0.25x = (-10 * 0.75 + x * 0.75)
2 + 0.25x = (-7.5 + 0.75x)

Solving
2 + 0.25x = -7.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
2 + 0.25x + -0.75x = -7.5 + 0.75x + -0.75x

Combine like terms: 0.25x + -0.75x = -0.5x
2 + -0.5x = -7.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
2 + -0.5x = -7.5 + 0.00
2 + -0.5x = -7.5

Add '-2' to each side of the equation.
2 + -2 + -0.5x = -7.5 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5x = -7.5 + -2
-0.5x = -7.5 + -2

Combine like terms: -7.5 + -2 = -9.5
-0.5x = -9.5

Divide each side by '-0.5'.
x = 19

Simplifying
x = 19

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