Solve 7.6=x/58.5500/1000.082*300

$$7.6 = \frac{ x }{ 58.5 } \frac{ 500 }{ 100 } 0.082 \cdot 300$$

Solve for x

$$x = \frac{741}{205} = 3\frac{126}{205} \approx 3.614634146$$

Steps for Solving Linear Equation

Divide 500 by 100 to get 5.

$$7.6=\frac{x}{58.5}\times 5\times 0.082\times 300$$

Multiply 5 and 0.082 to get 0.41.

$$7.6=\frac{x}{58.5}\times 0.41\times 300$$

Multiply 0.41 and 300 to get 123.

$$7.6=\frac{x}{58.5}\times 123$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{58.5}\times 123=7.6$$

Divide both sides by 123.

$$\frac{x}{58.5}=\frac{7.6}{123}$$

Expand \frac{7.6}{123} by multiplying both numerator and the denominator by 10.

$$\frac{x}{58.5}=\frac{76}{1230}$$

Reduce the fraction \frac{76}{1230} to lowest terms by extracting and canceling out 2.

$$\frac{x}{58.5}=\frac{38}{615}$$

Multiply both sides by 58.5.

$$x=\frac{38}{615}\times 58.5$$

Convert decimal number 58.5 to fraction \frac{585}{10}. Reduce the fraction \frac{585}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{38}{615}\times \frac{117}{2}$$

Multiply \frac{38}{615} times \frac{117}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{38\times 117}{615\times 2}$$

Do the multiplications in the fraction \frac{38\times 117}{615\times 2}.

$$x=\frac{4446}{1230}$$

Reduce the fraction \frac{4446}{1230} to lowest terms by extracting and canceling out 6.

$$x=\frac{741}{205}$$