Solve for x 3/5x-1=2

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

Step 1

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

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

Step 2

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

Add $1$ to both sides of the equation.

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

Add $2$ and $1$ .

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

Step 3

Multiply both sides of the equation by $\frac{5}{3}$ .

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

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} \cdot \frac{3 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot 3$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{5}{3} \cdot 3$

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{5}{3} \cdot 3$

Rewrite the expression.

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

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$x = 5$