Solve 7/9-3/4=1/6divx

$$\frac{ 7 }{ 9 } - \frac{ 3 }{ 4 } = \frac{ 1 }{ 6 } \div x$$

Solve for x

$$x=6$$

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 36x, the least common multiple of 9,4,x.

$$36x\times \frac{7}{9}+36x\left(-\frac{3}{4}\right)=36\times \frac{1}{6}$$

Express 36\times \frac{7}{9} as a single fraction.

$$\frac{36\times 7}{9}x+36x\left(-\frac{3}{4}\right)=36\times \frac{1}{6}$$

Multiply 36 and 7 to get 252.

$$\frac{252}{9}x+36x\left(-\frac{3}{4}\right)=36\times \frac{1}{6}$$

Divide 252 by 9 to get 28.

$$28x+36x\left(-\frac{3}{4}\right)=36\times \frac{1}{6}$$

Express 36\left(-\frac{3}{4}\right) as a single fraction.

$$28x+\frac{36\left(-3\right)}{4}x=36\times \frac{1}{6}$$

Multiply 36 and -3 to get -108.

$$28x+\frac{-108}{4}x=36\times \frac{1}{6}$$

Divide -108 by 4 to get -27.

$$28x-27x=36\times \frac{1}{6}$$

Combine 28x and -27x to get x.

$$x=36\times \frac{1}{6}$$

Multiply 36 and \frac{1}{6} to get \frac{36}{6}.

$$x=\frac{36}{6}$$

Divide 36 by 6 to get 6.

$$x=6$$