0.5(x+300)=0.55x-240

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Solution for 0.5(x+300)=0.55x-240 equation: 


Simplifying
0.5(x + 300) = 0.55x + -240

Reorder the terms:
0.5(300 + x) = 0.55x + -240
(300 * 0.5 + x * 0.5) = 0.55x + -240
(150 + 0.5x) = 0.55x + -240

Reorder the terms:
150 + 0.5x = -240 + 0.55x

Solving
150 + 0.5x = -240 + 0.55x

Solving for variable 'x'.

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

Add '-0.55x' to each side of the equation.
150 + 0.5x + -0.55x = -240 + 0.55x + -0.55x

Combine like terms: 0.5x + -0.55x = -0.05x
150 + -0.05x = -240 + 0.55x + -0.55x

Combine like terms: 0.55x + -0.55x = 0.00
150 + -0.05x = -240 + 0.00
150 + -0.05x = -240

Add '-150' to each side of the equation.
150 + -150 + -0.05x = -240 + -150

Combine like terms: 150 + -150 = 0
0 + -0.05x = -240 + -150
-0.05x = -240 + -150

Combine like terms: -240 + -150 = -390
-0.05x = -390

Divide each side by '-0.05'.
x = 7800

Simplifying
x = 7800

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