500=30x+2.50(x-150)

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Solution for 500=30x+2.50(x-150) equation:


Simplifying
500 = 30x + 2.50(x + -150)

Reorder the terms:
500 = 30x + 2.50(-150 + x)
500 = 30x + (-150 * 2.50 + x * 2.50)
500 = 30x + (-375 + 2.50x)

Reorder the terms:
500 = -375 + 30x + 2.50x

Combine like terms: 30x + 2.50x = 32.5x
500 = -375 + 32.5x

Solving
500 = -375 + 32.5x

Solving for variable 'x'.

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

Add '-32.5x' to each side of the equation.
500 + -32.5x = -375 + 32.5x + -32.5x

Combine like terms: 32.5x + -32.5x = 0.0
500 + -32.5x = -375 + 0.0
500 + -32.5x = -375

Add '-500' to each side of the equation.
500 + -500 + -32.5x = -375 + -500

Combine like terms: 500 + -500 = 0
0 + -32.5x = -375 + -500
-32.5x = -375 + -500

Combine like terms: -375 + -500 = -875
-32.5x = -875

Divide each side by '-32.5'.
x = 26.92307692

Simplifying
x = 26.92307692

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