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

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

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$15x-5\left(x+1\right)=3\left(2x+1\right)$$

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

$$15x-5x-5=3\left(2x+1\right)$$

Combine 15x and -5x to get 10x.

$$10x-5=3\left(2x+1\right)$$

Use the distributive property to multiply 3 by 2x+1.

$$10x-5=6x+3$$

Subtract 6x from both sides.

$$10x-5-6x=3$$

Combine 10x and -6x to get 4x.

$$4x-5=3$$

Add 5 to both sides.

$$4x=3+5$$

Add 3 and 5 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$