Solve for x 2x+3y=10

$2 x + 3 y = 10$

Step 1

Subtract $3 y$ from both sides of the equation.

$2 x = 10 - 3 y$

Step 2

Divide each term in $2 x = 10 - 3 y$ by $2$ and simplify.

Divide each term in $2 x = 10 - 3 y$ by $2$ .

$\frac{2 x}{2} = \frac{10}{2} + \frac{- 3 y}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{10}{2} + \frac{- 3 y}{2}$

Divide $x$ by $1$ .

$x = \frac{10}{2} + \frac{- 3 y}{2}$

Simplify the right side.

Simplify each term.

Divide $10$ by $2$ .

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

Move the negative in front of the fraction.

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