Question

solve for x.
ax + b = -cx - d
a x = \frac{(-c - d)}{(a + b)}
b x = \frac{db}{ac}
c x = -\frac{(d - b)}{(a + c)}
d x = \frac{(-d - b)}{(a + c)}
e x = -\frac{db}{ac}

Explanation:

Step1: Move terms with x to left

Add \( cx \) to both sides: \( ax + cx + b = -d \)

Step2: Move constant to right

Subtract \( b \) from both sides: \( ax + cx = -d - b \)

Step3: Factor out x

Factor \( x \): \( x(a + c) = -d - b \)

Step4: Solve for x

Divide both sides by \( a + c \): \( x = \frac{-d - b}{a + c} \)

Answer:

D. \( x = \frac{(-d - b)}{(a + c)} \)