Solve for x 5x=ax+w

$5 x = a x + w$

Subtract $a x$ from both sides of the equation.

$5 x - a x = w$

Factor $x$ out of $5 x - a x$ .

Factor $x$ out of $5 x$ .

$x \cdot 5 - a x = w$

Factor $x$ out of $- a x$ .

$x \cdot 5 + x (- a) = w$

Factor $x$ out of $x \cdot 5 + x (- a)$ .

$x (5 - a) = w$

Divide each term in $x (5 - a) = w$ by $5 - a$ and simplify.

Divide each term in $x (5 - a) = w$ by $5 - a$ .

$\frac{x (5 - a)}{5 - a} = \frac{w}{5 - a}$

Simplify the left side.

Cancel the common factor of $5 - a$ .

Cancel the common factor.

$\frac{x (5 - a)}{5 - a} = \frac{w}{5 - a}$

Divide $x$ by $1$ .

$x = \frac{w}{5 - a}$