Solve x-1/5+x+1/3=2

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

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by x-1.

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

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

$$3x-3+5x+5=30$$

Combine 3x and 5x to get 8x.

$$8x-3+5=30$$

Add -3 and 5 to get 2.

$$8x+2=30$$

Subtract 2 from both sides.

$$8x=30-2$$

Subtract 2 from 30 to get 28.

$$8x=28$$

Divide both sides by 8.

$$x=\frac{28}{8}$$

Reduce the fraction \frac{28}{8} to lowest terms by extracting and canceling out 4.

$$x=\frac{7}{2}$$