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600=0.8\left(x+600\right)
Variable x cannot be equal to -600 since division by zero is not defined. Multiply both sides of the equation by x+600.
600=0.8x+480
Use the distributive property to multiply 0.8 by x+600.
0.8x+480=600
Swap sides so that all variable terms are on the left hand side.
0.8x=600-480
Subtract 480 from both sides.
0.8x=120
Subtract 480 from 600 to get 120.
x=\frac{120}{0.8}
Divide both sides by 0.8.
x=\frac{1200}{8}
Expand \frac{120}{0.8} by multiplying both numerator and the denominator by 10.
x=150
Divide 1200 by 8 to get 150.