Solve 5/4x+3/10x=7/5

$$\frac { 5 } { 4 } x + \frac { 3 } { 10 } x = \frac { 7 } { 5 }$$

Solve for x

$$x=\frac{28}{31}\approx 0.903225806$$

Steps for Solving Linear Equation

Combine \frac{5}{4}x and \frac{3}{10}x to get \frac{31}{20}x.

$$\frac{31}{20}x=\frac{7}{5}$$

Multiply both sides by \frac{20}{31}, the reciprocal of \frac{31}{20}.

$$x=\frac{7}{5}\times \frac{20}{31}$$

Multiply \frac{7}{5} times \frac{20}{31} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\times 20}{5\times 31}$$

Do the multiplications in the fraction \frac{7\times 20}{5\times 31}.

$$x=\frac{140}{155}$$

Reduce the fraction \frac{140}{155} to lowest terms by extracting and canceling out 5.

$$x=\frac{28}{31}$$