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

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

Combine $\frac{3}{5}$ and $x$ .

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

Move all terms not containing $x$ to the right side of the equation.

Subtract $\frac{1}{5}$ from both sides of the equation.

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

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Combine $2$ and $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $5$ .

$\frac{3 x}{5} = \frac{10 - 1}{5}$

Subtract $1$ from $10$ .

$\frac{3 x}{5} = \frac{9}{5}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$3 x = 9$

Divide each term in $3 x = 9$ by $3$ and simplify.

Divide each term in $3 x = 9$ by $3$ .

$\frac{3 x}{3} = \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{9}{3}$

Divide $x$ by $1$ .

$x = \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$x = 3$