Question

solve the following equation.
38 - 14 = 3(x - 9)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is x = \boxed{}. (type an integer or a fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Simplify left side

Calculate \( 38 - 14 \), we get \( 24 \). So the equation becomes \( 24 = 3(x - 9) \).

Step2: Divide both sides by 3

Divide both sides of \( 24 = 3(x - 9) \) by 3. We have \( \frac{24}{3}=\frac{3(x - 9)}{3} \), which simplifies to \( 8 = x - 9 \).

Step3: Solve for x

Add 9 to both sides of \( 8 = x - 9 \). So \( 8 + 9 = x - 9 + 9 \), which gives \( x = 17 \).

Answer:

A. The solution is \( x = 17 \)