Solve 3xdiv5/7=3.5

$$3x \div \frac{ 5 }{ 7 } =3.5$$

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Multiply both sides by \frac{5}{7}.

$$3x=3.5\times \frac{5}{7}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$3x=\frac{7}{2}\times \frac{5}{7}$$

Multiply \frac{7}{2} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$3x=\frac{7\times 5}{2\times 7}$$

Cancel out 7 in both numerator and denominator.

$$3x=\frac{5}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{5}{2}}{3}$$

Express \frac{\frac{5}{2}}{3} as a single fraction.

$$x=\frac{5}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{5}{6}$$