Solve for p px+q=46x+23

$p x + q = 46 x + 23$

Step 1

Subtract $q$ from both sides of the equation.

$p x = 46 x + 23 - q$

Step 2

Divide each term in $p x = 46 x + 23 - q$ by $x$ and simplify.

Divide each term in $p x = 46 x + 23 - q$ by $x$ .

$\frac{p x}{x} = \frac{46 x}{x} + \frac{23}{x} + \frac{- q}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{p x}{x} = \frac{46 x}{x} + \frac{23}{x} + \frac{- q}{x}$

Divide $p$ by $1$ .

$p = \frac{46 x}{x} + \frac{23}{x} + \frac{- q}{x}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $x$ .

Cancel the common factor.

$p = \frac{46 x}{x} + \frac{23}{x} + \frac{- q}{x}$

Divide $46$ by $1$ .

$p = 46 + \frac{23}{x} + \frac{- q}{x}$

Move the negative in front of the fraction.

$p = 46 + \frac{23}{x} - \frac{q}{x}$