Solve 3/7x-5/x=3

$$\frac { 3 } { 7 x } - \frac { 5 } { x } = 3$$

Solve for x

$$x = -\frac{32}{21} = -1\frac{11}{21} \approx -1.523809524$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7x,x.

$$3-7\times 5=21x$$

Multiply -7 and 5 to get -35.

$$3-35=21x$$

Subtract 35 from 3 to get -32.

$$-32=21x$$

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

$$21x=-32$$

Divide both sides by 21.

$$x=\frac{-32}{21}$$

Fraction \frac{-32}{21} can be rewritten as -\frac{32}{21} by extracting the negative sign.

$$x=-\frac{32}{21}$$