Question

solve the equation for x.
( dx + b = 9(x - d) )
( x = square ) (simplify your answer.)

Explanation:

Step1: Expand the right-hand side

$dx + b = 9x - 9d$

Step2: Group x terms on one side

$dx - 9x = -9d - b$

Step3: Factor out x from left side

$x(d - 9) = -9d - b$

Step4: Isolate x by dividing

$x = \frac{-9d - b}{d - 9}$

Step5: Optional: Simplify sign (alternative form)

$x = \frac{9d + b}{9 - d}$

Answer:

$\frac{-9d - b}{d - 9}$ or $\frac{9d + b}{9 - d}$