Solve 2/3+4/x=5/3x

$$\frac { 2 } { 3 } + \frac { 4 } { x } = \frac { 5 } { 3 x }$$

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

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 3,x,3x.

$$3x\times \frac{2}{3}+3\times 4=5$$

Multiply 3 and \frac{2}{3} to get 2.

$$2x+3\times 4=5$$

Multiply 3 and 4 to get 12.

$$2x+12=5$$

Subtract 12 from both sides.

$$2x=5-12$$

Subtract 12 from 5 to get -7.

$$2x=-7$$

Divide both sides by 2.

$$x=\frac{-7}{2}$$

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$x=-\frac{7}{2}$$