Solve x+1/3+x-1/5=2/15

$$\frac { x + 1 } { 3 } + \frac { x - 1 } { 5 } = \frac { 2 } { 15 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$5\left(x+1\right)+3\left(x-1\right)=2$$

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

$$5x+5+3\left(x-1\right)=2$$

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

$$5x+5+3x-3=2$$

Combine 5x and 3x to get 8x.

$$8x+5-3=2$$

Subtract 3 from 5 to get 2.

$$8x+2=2$$

Subtract 2 from both sides.

$$8x=2-2$$

Subtract 2 from 2 to get 0.

$$8x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 8 is not equal to 0, x must be equal to 0.

$$x=0$$