Solve (0.05*18.4*96/0.98+x)*0.87=0.05*18.4*96

$$( \frac{ 0.05 \times 18.4 \times 96 }{ 0.98 } +x) \times 0.87=0.05 \times 18.4 \times 96$$

Solve for x

$$x = \frac{16192}{1421} = 11\frac{561}{1421} \approx 11.3947924$$

Steps for Solving Linear Equation

Multiply 0.05 and 18.4 to get 0.92.

$$\left(\frac{0.92\times 96}{0.98}+x\right)\times 0.87=0.05\times 18.4\times 96$$

Multiply 0.92 and 96 to get 88.32.

$$\left(\frac{88.32}{0.98}+x\right)\times 0.87=0.05\times 18.4\times 96$$

Expand \frac{88.32}{0.98} by multiplying both numerator and the denominator by 100.

$$\left(\frac{8832}{98}+x\right)\times 0.87=0.05\times 18.4\times 96$$

Reduce the fraction \frac{8832}{98} to lowest terms by extracting and canceling out 2.

$$\left(\frac{4416}{49}+x\right)\times 0.87=0.05\times 18.4\times 96$$

Use the distributive property to multiply \frac{4416}{49}+x by 0.87.

$$\frac{4416}{49}\times 0.87+0.87x=0.05\times 18.4\times 96$$

Convert decimal number 0.87 to fraction \frac{87}{100}.

$$\frac{4416}{49}\times \frac{87}{100}+0.87x=0.05\times 18.4\times 96$$

Multiply \frac{4416}{49} times \frac{87}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4416\times 87}{49\times 100}+0.87x=0.05\times 18.4\times 96$$

Do the multiplications in the fraction \frac{4416\times 87}{49\times 100}.

$$\frac{384192}{4900}+0.87x=0.05\times 18.4\times 96$$

Reduce the fraction \frac{384192}{4900} to lowest terms by extracting and canceling out 4.

$$\frac{96048}{1225}+0.87x=0.05\times 18.4\times 96$$

Multiply 0.05 and 18.4 to get 0.92.

$$\frac{96048}{1225}+0.87x=0.92\times 96$$

Multiply 0.92 and 96 to get 88.32.

$$\frac{96048}{1225}+0.87x=88.32$$

Subtract \frac{96048}{1225} from both sides.

$$0.87x=88.32-\frac{96048}{1225}$$

Convert decimal number 88.32 to fraction \frac{8832}{100}. Reduce the fraction \frac{8832}{100} to lowest terms by extracting and canceling out 4.

$$0.87x=\frac{2208}{25}-\frac{96048}{1225}$$

Least common multiple of 25 and 1225 is 1225. Convert \frac{2208}{25} and \frac{96048}{1225} to fractions with denominator 1225.

$$0.87x=\frac{108192}{1225}-\frac{96048}{1225}$$

Since \frac{108192}{1225} and \frac{96048}{1225} have the same denominator, subtract them by subtracting their numerators.

$$0.87x=\frac{108192-96048}{1225}$$

Subtract 96048 from 108192 to get 12144.

$$0.87x=\frac{12144}{1225}$$

Divide both sides by 0.87.

$$x=\frac{\frac{12144}{1225}}{0.87}$$

Express \frac{\frac{12144}{1225}}{0.87} as a single fraction.

$$x=\frac{12144}{1225\times 0.87}$$

Multiply 1225 and 0.87 to get 1065.75.

$$x=\frac{12144}{1065.75}$$

Expand \frac{12144}{1065.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{1214400}{106575}$$

Reduce the fraction \frac{1214400}{106575} to lowest terms by extracting and canceling out 75.

$$x=\frac{16192}{1421}$$