500=0.75x-(750+.25x)

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Solution for 500=0.75x-(750+.25x) equation:


Simplifying
500 = 0.75x + -1(750 + 0.25x)
500 = 0.75x + (750 * -1 + 0.25x * -1)
500 = 0.75x + (-750 + -0.25x)

Reorder the terms:
500 = -750 + 0.75x + -0.25x

Combine like terms: 0.75x + -0.25x = 0.5x
500 = -750 + 0.5x

Solving
500 = -750 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
500 + -0.5x = -750 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
500 + -0.5x = -750 + 0.0
500 + -0.5x = -750

Add '-500' to each side of the equation.
500 + -500 + -0.5x = -750 + -500

Combine like terms: 500 + -500 = 0
0 + -0.5x = -750 + -500
-0.5x = -750 + -500

Combine like terms: -750 + -500 = -1250
-0.5x = -1250

Divide each side by '-0.5'.
x = 2500

Simplifying
x = 2500

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