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

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

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

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 10x, the least common multiple of 5x,x,10.

$$2\times 3=10+10x\times \frac{3}{10}$$

Multiply 2 and 3 to get 6.

$$6=10+10x\times \frac{3}{10}$$

Multiply 10 and \frac{3}{10} to get 3.

$$6=10+3x$$

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

$$10+3x=6$$

Subtract 10 from both sides.

$$3x=6-10$$

Subtract 10 from 6 to get -4.

$$3x=-4$$

Divide both sides by 3.

$$x=\frac{-4}{3}$$

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$x=-\frac{4}{3}$$