Solve 12/3*21/5-x=2

$$1 \frac { 2 } { 3 } \times 2 \frac { 1 } { 5 } - x = 2$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$\left(1\times 3+2\right)\left(2\times 5+1\right)-15x=30$$

Multiply 1 and 3 to get 3.

$$\left(3+2\right)\left(2\times 5+1\right)-15x=30$$

Add 3 and 2 to get 5.

$$5\left(2\times 5+1\right)-15x=30$$

Multiply 2 and 5 to get 10.

$$5\left(10+1\right)-15x=30$$

Add 10 and 1 to get 11.

$$5\times 11-15x=30$$

Multiply 5 and 11 to get 55.

$$55-15x=30$$

Subtract 55 from both sides.

$$-15x=30-55$$

Subtract 55 from 30 to get -25.

$$-15x=-25$$

Divide both sides by -15.

$$x=\frac{-25}{-15}$$

Reduce the fraction \frac{-25}{-15} to lowest terms by extracting and canceling out -5.

$$x=\frac{5}{3}$$