Solve 2/5+x*7/9=211/15

$$\frac { 2 } { 5 } + x \times \frac { 7 } { 9 } = 2 \frac { 11 } { 15 }$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9,15.

$$18+45x\times \frac{7}{9}=3\left(2\times 15+11\right)$$

Express 45\times \frac{7}{9} as a single fraction.

$$18+\frac{45\times 7}{9}x=3\left(2\times 15+11\right)$$

Multiply 45 and 7 to get 315.

$$18+\frac{315}{9}x=3\left(2\times 15+11\right)$$

Divide 315 by 9 to get 35.

$$18+35x=3\left(2\times 15+11\right)$$

Multiply 2 and 15 to get 30.

$$18+35x=3\left(30+11\right)$$

Add 30 and 11 to get 41.

$$18+35x=3\times 41$$

Multiply 3 and 41 to get 123.

$$18+35x=123$$

Subtract 18 from both sides.

$$35x=123-18$$

Subtract 18 from 123 to get 105.

$$35x=105$$

Divide both sides by 35.

$$x=\frac{105}{35}$$

Divide 105 by 35 to get 3.

$$x=3$$