Solve 4/3-5/4=1/6divx

$$\frac{ 4 }{ 3 } - \frac{ 5 }{ 4 } = \frac{ 1 }{ 6 } \div x$$

Solve for x

$$x=2$$

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 3,4,x.

$$12x\times \frac{4}{3}+12x\left(-\frac{5}{4}\right)=12\times \frac{1}{6}$$

Express 12\times \frac{4}{3} as a single fraction.

$$\frac{12\times 4}{3}x+12x\left(-\frac{5}{4}\right)=12\times \frac{1}{6}$$

Multiply 12 and 4 to get 48.

$$\frac{48}{3}x+12x\left(-\frac{5}{4}\right)=12\times \frac{1}{6}$$

Divide 48 by 3 to get 16.

$$16x+12x\left(-\frac{5}{4}\right)=12\times \frac{1}{6}$$

Express 12\left(-\frac{5}{4}\right) as a single fraction.

$$16x+\frac{12\left(-5\right)}{4}x=12\times \frac{1}{6}$$

Multiply 12 and -5 to get -60.

$$16x+\frac{-60}{4}x=12\times \frac{1}{6}$$

Divide -60 by 4 to get -15.

$$16x-15x=12\times \frac{1}{6}$$

Combine 16x and -15x to get x.

$$x=12\times \frac{1}{6}$$

Multiply 12 and \frac{1}{6} to get \frac{12}{6}.

$$x=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x=2$$