Solve for x (2x+3)/5=y

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

Step 1

Multiply both sides by $5$ .

$\frac{2 x + 3}{5} \cdot 5 = y \cdot 5$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{2 x + 3}{5} \cdot 5 = y \cdot 5$

Rewrite the expression.

$2 x + 3 = y \cdot 5$

$2 x + 3 = y \cdot 5$

$2 x + 3 = y \cdot 5$

Simplify the right side.

Move $5$ to the left of $y$ .

$2 x + 3 = 5 y$

$2 x + 3 = 5 y$

$2 x + 3 = 5 y$

Step 3

Solve for $x$ .

Subtract $3$ from both sides of the equation.

$2 x = 5 y - 3$

Divide each term in $2 x = 5 y - 3$ by $2$ and simplify.

Divide each term in $2 x = 5 y - 3$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

Simplify the right side.

Move the negative in front of the fraction.

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

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

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

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

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