Solve 5/4+1/x=4/3

$$\frac{ 5 }{ 4 } + \frac{ 1 }{ x } = \frac{ 4 }{ 3 }$$

Solve for x

$$x=12$$

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 4,x,3.

$$12x\times \frac{5}{4}+12=16x$$

Express 12\times \frac{5}{4} as a single fraction.

$$\frac{12\times 5}{4}x+12=16x$$

Multiply 12 and 5 to get 60.

$$\frac{60}{4}x+12=16x$$

Divide 60 by 4 to get 15.

$$15x+12=16x$$

Subtract 16x from both sides.

$$15x+12-16x=0$$

Combine 15x and -16x to get -x.

$$-x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-x=-12$$

Multiply both sides by -1.

$$x=12$$