(.75x)-6=(.25x)+10

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Solution for (.75x)-6=(.25x)+10 equation:


Simplifying
(0.75x) + -6 = (0.25x) + 10

Reorder the terms:
-6 + (0.75x) = (0.25x) + 10

Reorder the terms:
-6 + (0.75x) = 10 + (0.25x)

Solving
-6 + (0.75x) = 10 + (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 + (0.75x) + (-0.25x) = 10 + (0.25x) + (-0.25x)

Combine like terms: (0.75x) + (-0.25x) = 0.5x
-6 + 0.5x = 10 + (0.25x) + (-0.25x)

Combine like terms: (0.25x) + (-0.25x) = 0.00
-6 + 0.5x = 10 + 0.00
-6 + 0.5x = 10

Add '6' to each side of the equation.
-6 + 6 + 0.5x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 0.5x = 10 + 6
0.5x = 10 + 6

Combine like terms: 10 + 6 = 16
0.5x = 16

Divide each side by '0.5'.
x = 32

Simplifying
x = 32

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