Solve for x 3+5x-kx=y

$3 + 5 x - k x = y$

Step 1

Subtract $3$ from both sides of the equation.

$5 x - k x = y - 3$

Step 2

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

Factor $x$ out of $5 x$ .

$x \cdot 5 - k x = y - 3$

Factor $x$ out of $- k x$ .

$x \cdot 5 + x (- k) = y - 3$

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

$x (5 - k) = y - 3$

Step 3

Divide each term in $x (5 - k) = y - 3$ by $5 - k$ and simplify.

Divide each term in $x (5 - k) = y - 3$ by $5 - k$ .

$\frac{x (5 - k)}{5 - k} = \frac{y}{5 - k} + \frac{- 3}{5 - k}$

Simplify the left side.

Cancel the common factor of $5 - k$ .

Cancel the common factor.

$\frac{x (5 - k)}{5 - k} = \frac{y}{5 - k} + \frac{- 3}{5 - k}$

Divide $x$ by $1$ .

$x = \frac{y}{5 - k} + \frac{- 3}{5 - k}$

Simplify the right side.

Combine the numerators over the common denominator.

$x = \frac{y - 3}{5 - k}$