Question

If 5x + 4 = 19, then x =

• A. 1
• B. 2
• C. 3
• D. 4
• E. 5

Hint:

A useful check for any equation is to substitute your answer back into the original problem. For \(x=3\), we get \(5(3) + 4 = 15 + 4 = 19\). The equation holds true, so the answer is correct.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This problem requires solving a simple two-step linear equation for the variable \(x\).
Step 2: Key Formula or Approach:
Use inverse operations to isolate \(x\).
1. Subtract 4 from both sides.
2. Divide both sides by 5.
Step 3: Detailed Explanation:
The given equation is:
\[ 5x + 4 = 19 \]
First, subtract 4 from both sides to isolate the term with \(x\):
\[ 5x + 4 - 4 = 19 - 4 \]
\[ 5x = 15 \]
Now, divide both sides by 5 to find the value of \(x\):
\[ \frac{5x}{5} = \frac{15}{5} \]
\[ x = 3 \]
Step 4: Final Answer:
The value of \(x\) is 3, which corresponds to option (C).