Solve 5x/6-2x/9=12/9

$$\frac{ 5x }{ 6 } - \frac{ 2x }{ 9 } = 1 \frac{ 2 }{ 9 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 6,9.

$$3\times 5x-2\times 2x=2\left(1\times 9+2\right)$$

Multiply 3 and 5 to get 15.

$$15x-2\times 2x=2\left(1\times 9+2\right)$$

Multiply -2 and 2 to get -4.

$$15x-4x=2\left(1\times 9+2\right)$$

Combine 15x and -4x to get 11x.

$$11x=2\left(1\times 9+2\right)$$

Multiply 1 and 9 to get 9.

$$11x=2\left(9+2\right)$$

Add 9 and 2 to get 11.

$$11x=2\times 11$$

Multiply 2 and 11 to get 22.

$$11x=22$$

Divide both sides by 11.

$$x=\frac{22}{11}$$

Divide 22 by 11 to get 2.

$$x=2$$