0.25(x+8)=0.75x-6

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Solution for 0.25(x+8)=0.75x-6 equation:


Simplifying
0.25(x + 8) = 0.75x + -6

Reorder the terms:
0.25(8 + x) = 0.75x + -6
(8 * 0.25 + x * 0.25) = 0.75x + -6
(2 + 0.25x) = 0.75x + -6

Reorder the terms:
2 + 0.25x = -6 + 0.75x

Solving
2 + 0.25x = -6 + 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 = -6 + 0.75x + -0.75x

Combine like terms: 0.25x + -0.75x = -0.5x
2 + -0.5x = -6 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
2 + -0.5x = -6 + 0.00
2 + -0.5x = -6

Add '-2' to each side of the equation.
2 + -2 + -0.5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -0.5x = -6 + -2
-0.5x = -6 + -2

Combine like terms: -6 + -2 = -8
-0.5x = -8

Divide each side by '-0.5'.
x = 16

Simplifying
x = 16

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