0.5(x+300)=0.56x-282

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Solution for 0.5(x+300)=0.56x-282 equation: 


Simplifying
0.5(x + 300) = 0.56x + -282

Reorder the terms:
0.5(300 + x) = 0.56x + -282
(300 * 0.5 + x * 0.5) = 0.56x + -282
(150 + 0.5x) = 0.56x + -282

Reorder the terms:
150 + 0.5x = -282 + 0.56x

Solving
150 + 0.5x = -282 + 0.56x

Solving for variable 'x'.

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

Add '-0.56x' to each side of the equation.
150 + 0.5x + -0.56x = -282 + 0.56x + -0.56x

Combine like terms: 0.5x + -0.56x = -0.06x
150 + -0.06x = -282 + 0.56x + -0.56x

Combine like terms: 0.56x + -0.56x = 0.00
150 + -0.06x = -282 + 0.00
150 + -0.06x = -282

Add '-150' to each side of the equation.
150 + -150 + -0.06x = -282 + -150

Combine like terms: 150 + -150 = 0
0 + -0.06x = -282 + -150
-0.06x = -282 + -150

Combine like terms: -282 + -150 = -432
-0.06x = -432

Divide each side by '-0.06'.
x = 7200

Simplifying
x = 7200

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