Solve for Q M=2P+3Q

$M = 2 P + 3 Q$

Rewrite the equation as $2 P + 3 Q = M$ .

$2 P + 3 Q = M$

Subtract $2 P$ from both sides of the equation.

$3 Q = M - 2 P$

Divide each term in $3 Q = M - 2 P$ by $3$ and simplify.

Divide each term in $3 Q = M - 2 P$ by $3$ .

$\frac{3 Q}{3} = \frac{M}{3} + \frac{- 2 P}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 Q}{3} = \frac{M}{3} + \frac{- 2 P}{3}$

Divide $Q$ by $1$ .

$Q = \frac{M}{3} + \frac{- 2 P}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$Q = \frac{M}{3} - \frac{2 P}{3}$