Solve for x z-m=z+bx

$z - m = z + b x$

Rewrite the equation as $z + b x = z - m$ .

$z + b x = z - m$

Move all terms not containing $x$ to the right side of the equation.

Subtract $z$ from both sides of the equation.

$b x = z - m - z$

Combine the opposite terms in $z - m - z$ .

Subtract $z$ from $z$ .

$b x = - m + 0$

Add $- m$ and $0$ .

$b x = - m$

Divide each term in $b x = - m$ by $b$ and simplify.

Divide each term in $b x = - m$ by $b$ .

$\frac{b x}{b} = \frac{- m}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b x}{b} = \frac{- m}{b}$

Divide $x$ by $1$ .

$x = \frac{- m}{b}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{m}{b}$