Solve for m 4m+2n=5n

$4 m + 2 n = 5 n$

Step 1

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

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

$4 m = 5 n - 2 n$

Subtract $2 n$ from $5 n$ .

$4 m = 3 n$

Step 2

Divide each term in $4 m = 3 n$ by $4$ and simplify.

Divide each term in $4 m = 3 n$ by $4$ .

$\frac{4 m}{4} = \frac{3 n}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} = \frac{3 n}{4}$

Divide $m$ by $1$ .

$m = \frac{3 n}{4}$