We are given the equation $\sqrt{ax+b} = d$ and asked to express $x$ in terms of $a$, $b$, and $d$.

1. Problem Description

We are given the equation $\sqrt{ax+b} = d$ and asked to express $x$ in terms of $a$, $b$, and $d$.

2. Solution Steps

We start with the given equation:

$\sqrt{ax+b} = d$

Square both sides to eliminate the square root:

$(\sqrt{ax+b})^2 = d^2$

$ax+b = d^2$

Subtract $b$ from both sides:

$ax = d^2 - b$

Divide both sides by $a$:

$x = \frac{d^2 - b}{a}$

3. Final Answer

$x = \frac{d^2 - b}{a}$