Solve 3/5x+1/10x=31/30

$$\frac{ 3 }{ 5 } x+ \frac{ 1 }{ 10 } x = \frac{ 31 }{ 30 }$$

Solve for x

$$x = \frac{31}{21} = 1\frac{10}{21} \approx 1.476190476$$

Steps for Solving Linear Equation

Combine \frac{3}{5}x and \frac{1}{10}x to get \frac{7}{10}x.

$$\frac{7}{10}x=\frac{31}{30}$$

Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.

$$x=\frac{31}{30}\times \frac{10}{7}$$

Multiply \frac{31}{30} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{31\times 10}{30\times 7}$$

Do the multiplications in the fraction \frac{31\times 10}{30\times 7}.

$$x=\frac{310}{210}$$

Reduce the fraction \frac{310}{210} to lowest terms by extracting and canceling out 10.

$$x=\frac{31}{21}$$