Solve for x
x = \frac{5336}{3} = 1778\frac{2}{3} \approx 1778.666666667
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38\left(100-29.5\right)=0.15x\left(29.5-20\right)+0.04\times 380\left(29.5-20\right)
Multiply 0.1 and 380 to get 38.
38\times 70.5=0.15x\left(29.5-20\right)+0.04\times 380\left(29.5-20\right)
Subtract 29.5 from 100 to get 70.5.
2679=0.15x\left(29.5-20\right)+0.04\times 380\left(29.5-20\right)
Multiply 38 and 70.5 to get 2679.
2679=0.15x\times 9.5+0.04\times 380\left(29.5-20\right)
Subtract 20 from 29.5 to get 9.5.
2679=1.425x+0.04\times 380\left(29.5-20\right)
Multiply 0.15 and 9.5 to get 1.425.
2679=1.425x+15.2\left(29.5-20\right)
Multiply 0.04 and 380 to get 15.2.
2679=1.425x+15.2\times 9.5
Subtract 20 from 29.5 to get 9.5.
2679=1.425x+144.4
Multiply 15.2 and 9.5 to get 144.4.
1.425x+144.4=2679
Swap sides so that all variable terms are on the left hand side.
1.425x=2679-144.4
Subtract 144.4 from both sides.
1.425x=2534.6
Subtract 144.4 from 2679 to get 2534.6.
x=\frac{2534.6}{1.425}
Divide both sides by 1.425.
x=\frac{2534600}{1425}
Expand \frac{2534.6}{1.425} by multiplying both numerator and the denominator by 1000.
x=\frac{5336}{3}
Reduce the fraction \frac{2534600}{1425} to lowest terms by extracting and canceling out 475.
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