Solve 1/5x+2=3/7x

$$\frac{ 1 }{ 5 } x+2= \frac{ 3 }{ 7 } x$$

Solve for x

$$x = \frac{35}{4} = 8\frac{3}{4} = 8.75$$

Steps for Solving Linear Equation

Subtract \frac{3}{7}x from both sides.

$$\frac{1}{5}x+2-\frac{3}{7}x=0$$

Combine \frac{1}{5}x and -\frac{3}{7}x to get -\frac{8}{35}x.

$$-\frac{8}{35}x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{8}{35}x=-2$$

Multiply both sides by -\frac{35}{8}, the reciprocal of -\frac{8}{35}.

$$x=-2\left(-\frac{35}{8}\right)$$

Express -2\left(-\frac{35}{8}\right) as a single fraction.

$$x=\frac{-2\left(-35\right)}{8}$$

Multiply -2 and -35 to get 70.

$$x=\frac{70}{8}$$

Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{35}{4}$$