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

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

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

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

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

$$3x-9=5\left(x+1\right)-30$$

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

$$3x-9=5x+5-30$$

Subtract 30 from 5 to get -25.

$$3x-9=5x-25$$

Subtract 5x from both sides.

$$3x-9-5x=-25$$

Combine 3x and -5x to get -2x.

$$-2x-9=-25$$

Add 9 to both sides.

$$-2x=-25+9$$

Add -25 and 9 to get -16.

$$-2x=-16$$

Divide both sides by -2.

$$x=\frac{-16}{-2}$$

Divide -16 by -2 to get 8.

$$x=8$$