Solve for x 12n+3px=7px

$12 n + 3 p x = 7 p x$

Move all terms containing $x$ to the left side of the equation.

Subtract $7 p x$ from both sides of the equation.

$12 n + 3 p x - 7 p x = 0$

Subtract $7 p x$ from $3 p x$ .

$12 n - 4 p x = 0$

Subtract $12 n$ from both sides of the equation.

$- 4 p x = - 12 n$

Divide each term in $- 4 p x = - 12 n$ by $- 4 p$ and simplify.

Divide each term in $- 4 p x = - 12 n$ by $- 4 p$ .

$\frac{- 4 p x}{- 4 p} = \frac{- 12 n}{- 4 p}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 p x}{- 4 p} = \frac{- 12 n}{- 4 p}$

Rewrite the expression.

$\frac{p x}{p} = \frac{- 12 n}{- 4 p}$

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p x}{p} = \frac{- 12 n}{- 4 p}$

Divide $x$ by $1$ .

$x = \frac{- 12 n}{- 4 p}$

Simplify the right side.

Cancel the common factor of $- 12$ and $- 4$ .

Factor $- 4$ out of $- 12 n$ .

$x = \frac{- 4 (3 n)}{- 4 p}$

Cancel the common factors.

Factor $- 4$ out of $- 4 p$ .

$x = \frac{- 4 (3 n)}{- 4 (p)}$

Cancel the common factor.

$x = \frac{- 4 (3 n)}{- 4 p}$

Rewrite the expression.

$x = \frac{3 n}{p}$