Solve n+2n-1/9-4=2n+7/3

$$n + \frac { 2 n - 1 } { 9 } - 4 = \frac { 2 n + 7 } { 3 }$$

Solve for n

$$n = \frac{58}{5} = 11\frac{3}{5} = 11.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 9,3.

$$9n+2n-1-36=3\left(2n+7\right)$$

Combine 9n and 2n to get 11n.

$$11n-1-36=3\left(2n+7\right)$$

Subtract 36 from -1 to get -37.

$$11n-37=3\left(2n+7\right)$$

Use the distributive property to multiply 3 by 2n+7.

$$11n-37=6n+21$$

Subtract 6n from both sides.

$$11n-37-6n=21$$

Combine 11n and -6n to get 5n.

$$5n-37=21$$

Add 37 to both sides.

$$5n=21+37$$

Add 21 and 37 to get 58.

$$5n=58$$

Divide both sides by 5.

$$n=\frac{58}{5}$$