Solve for x
x=1150
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9\left(1.2x-80\right)=10\left(x+20\right)
Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by 9\left(x+20\right), the least common multiple of x+20,9.
10.8x-720=10\left(x+20\right)
Use the distributive property to multiply 9 by 1.2x-80.
10.8x-720=10x+200
Use the distributive property to multiply 10 by x+20.
10.8x-720-10x=200
Subtract 10x from both sides.
0.8x-720=200
Combine 10.8x and -10x to get 0.8x.
0.8x=200+720
Add 720 to both sides.
0.8x=920
Add 200 and 720 to get 920.
x=\frac{920}{0.8}
Divide both sides by 0.8.
x=\frac{9200}{8}
Expand \frac{920}{0.8} by multiplying both numerator and the denominator by 10.
x=1150
Divide 9200 by 8 to get 1150.
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