Solve x+1/4+x-1/5=3

$$\frac { x + 1 } { 4 } + \frac { x - 1 } { 5 } = 3$$

Solve for x

$$x = \frac{59}{9} = 6\frac{5}{9} \approx 6.555555556$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(x+1\right)+4\left(x-1\right)=60$$

Use the distributive property to multiply 5 by x+1.

$$5x+5+4\left(x-1\right)=60$$

Use the distributive property to multiply 4 by x-1.

$$5x+5+4x-4=60$$

Combine 5x and 4x to get 9x.

$$9x+5-4=60$$

Subtract 4 from 5 to get 1.

$$9x+1=60$$

Subtract 1 from both sides.

$$9x=60-1$$

Subtract 1 from 60 to get 59.

$$9x=59$$

Divide both sides by 9.

$$x=\frac{59}{9}$$