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

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

Solve for x

$$x = \frac{31}{5} = 6\frac{1}{5} = 6.2$$

Steps for Solving Linear Equation

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

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

Subtract 3 from 5 to get 2.

$$3\times 2=5\left(x+1\right)-30$$

Multiply 3 and 2 to get 6.

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

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

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

Subtract 30 from 5 to get -25.

$$6=5x-25$$

Swap sides so that all variable terms are on the left hand side.

$$5x-25=6$$

Add 25 to both sides.

$$5x=6+25$$

Add 6 and 25 to get 31.

$$5x=31$$

Divide both sides by 5.

$$x=\frac{31}{5}$$