Solve for x y=3bx-7x for x

$y = 3 b x - 7 x$ for $x$

Step 1

Rewrite the equation as $3 b x - 7 x = y$ .

$3 b x - 7 x = y$

Step 2

Factor $x$ out of $3 b x - 7 x$ .

Factor $x$ out of $3 b x$ .

$x (3 b) - 7 x = y$

Factor $x$ out of $- 7 x$ .

$x (3 b) + x \cdot - 7 = y$

Factor $x$ out of $x (3 b) + x \cdot - 7$ .

$x (3 b - 7) = y$

Step 3

Divide each term in $x (3 b - 7) = y$ by $3 b - 7$ and simplify.

Divide each term in $x (3 b - 7) = y$ by $3 b - 7$ .

$\frac{x (3 b - 7)}{3 b - 7} = \frac{y}{3 b - 7}$

Simplify the left side.

Cancel the common factor of $3 b - 7$ .

Cancel the common factor.

$\frac{x (3 b - 7)}{3 b - 7} = \frac{y}{3 b - 7}$

Divide $x$ by $1$ .

$x = \frac{y}{3 b - 7}$