Question

If 3x - 5 = 10, then x =

• A. 5/3
• B. 3
• C. 5
• D. 15
• E. 45

Hint:

Always perform the addition/subtraction step before the multiplication/division step when isolating a variable in a two-step linear equation. You can verify your answer by plugging it back into the original equation: \(3(5) - 5 = 15 - 5 = 10\).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This is a basic linear equation in one variable. The goal is to isolate the variable \(x\) to find its value.
Step 2: Key Formula or Approach:
To solve for \(x\), we use inverse operations to isolate it.
1. Add 5 to both sides to cancel out the -5.
2. Divide both sides by 3 to cancel out the multiplication.
Step 3: Detailed Explanation:
Given the equation:
\[ 3x - 5 = 10 \]
First, add 5 to both sides of the equation:
\[ 3x - 5 + 5 = 10 + 5 \]
\[ 3x = 15 \]
Next, divide both sides by 3 to solve for \(x\):
\[ \frac{3x}{3} = \frac{15}{3} \]
\[ x = 5 \]
Step 4: Final Answer:
The value of \(x\) is 5, which corresponds to option (C).