0.5(x+300)=0.58x-548

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Solution for 0.5(x+300)=0.58x-548 equation:


Simplifying
0.5(x + 300) = 0.58x + -548

Reorder the terms:
0.5(300 + x) = 0.58x + -548
(300 * 0.5 + x * 0.5) = 0.58x + -548
(150 + 0.5x) = 0.58x + -548

Reorder the terms:
150 + 0.5x = -548 + 0.58x

Solving
150 + 0.5x = -548 + 0.58x

Solving for variable 'x'.

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

Add '-0.58x' to each side of the equation.
150 + 0.5x + -0.58x = -548 + 0.58x + -0.58x

Combine like terms: 0.5x + -0.58x = -0.08x
150 + -0.08x = -548 + 0.58x + -0.58x

Combine like terms: 0.58x + -0.58x = 0.00
150 + -0.08x = -548 + 0.00
150 + -0.08x = -548

Add '-150' to each side of the equation.
150 + -150 + -0.08x = -548 + -150

Combine like terms: 150 + -150 = 0
0 + -0.08x = -548 + -150
-0.08x = -548 + -150

Combine like terms: -548 + -150 = -698
-0.08x = -698

Divide each side by '-0.08'.
x = 8725

Simplifying
x = 8725

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