Solve 1/x=4/3x+1/4

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

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 12x, the least common multiple of x,3x,4.

$$12=4\times 4+12x\times \frac{1}{4}$$

Multiply 4 and 4 to get 16.

$$12=16+12x\times \frac{1}{4}$$

Multiply 12 and \frac{1}{4} to get 3.

$$12=16+3x$$

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

$$16+3x=12$$

Subtract 16 from both sides.

$$3x=12-16$$

Subtract 16 from 12 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.

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