0.5(x+300)=0.57x-375

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Solution for 0.5(x+300)=0.57x-375 equation: 


Simplifying
0.5(x + 300) = 0.57x + -375

Reorder the terms:
0.5(300 + x) = 0.57x + -375
(300 * 0.5 + x * 0.5) = 0.57x + -375
(150 + 0.5x) = 0.57x + -375

Reorder the terms:
150 + 0.5x = -375 + 0.57x

Solving
150 + 0.5x = -375 + 0.57x

Solving for variable 'x'.

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

Add '-0.57x' to each side of the equation.
150 + 0.5x + -0.57x = -375 + 0.57x + -0.57x

Combine like terms: 0.5x + -0.57x = -0.07x
150 + -0.07x = -375 + 0.57x + -0.57x

Combine like terms: 0.57x + -0.57x = 0.00
150 + -0.07x = -375 + 0.00
150 + -0.07x = -375

Add '-150' to each side of the equation.
150 + -150 + -0.07x = -375 + -150

Combine like terms: 150 + -150 = 0
0 + -0.07x = -375 + -150
-0.07x = -375 + -150

Combine like terms: -375 + -150 = -525
-0.07x = -525

Divide each side by '-0.07'.
x = 7500

Simplifying
x = 7500

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