Solve x+1/5+x-2/6=1

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

Solve for x

$$x = \frac{34}{11} = 3\frac{1}{11} \approx 3.090909091$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,6.

$$6\left(x+1\right)+5\left(x-2\right)=30$$

Use the distributive property to multiply 6 by x+1.

$$6x+6+5\left(x-2\right)=30$$

Use the distributive property to multiply 5 by x-2.

$$6x+6+5x-10=30$$

Combine 6x and 5x to get 11x.

$$11x+6-10=30$$

Subtract 10 from 6 to get -4.

$$11x-4=30$$

Add 4 to both sides.

$$11x=30+4$$

Add 30 and 4 to get 34.

$$11x=34$$

Divide both sides by 11.

$$x=\frac{34}{11}$$