Solve 1/x=4/3x+1

$$\frac{ 1 }{ x } = \frac{ 4 }{ 3x } +1$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

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 3x, the least common multiple of x,3x.

$$3=4+3x$$

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

$$4+3x=3$$

Subtract 4 from both sides.

$$3x=3-4$$

Subtract 4 from 3 to get -1.

$$3x=-1$$

Divide both sides by 3.

$$x=\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$x=-\frac{1}{3}$$