Question

If \(5x = 3x + 8\), then \(x =\)

• A. -4
• B. -1 1/3
• C. 1 1/3
• D. 4
• E. 12

Hint:

When solving a linear equation, you can check your answer by substituting the value you found back into the original equation. For \(x=4\):
Left side: \(5(4) = 20\).
Right side: \(3(4) + 8 = 12 + 8 = 20\).
Since both sides are equal, the answer is correct.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This is a linear equation where the variable \(x\) appears on both sides. The goal is to isolate \(x\) to find its value.
Step 2: Key Formula or Approach:
The strategy is to gather all terms containing \(x\) on one side of the equation and all constant terms on the other side.
Step 3: Detailed Explanation:
The given equation is:
\[ 5x = 3x + 8 \] Subtract \(3x\) from both sides to collect the \(x\) terms on the left side:
\[ 5x - 3x = 8 \] Combine the like terms:
\[ 2x = 8 \] Now, divide both sides by 2 to solve for \(x\):
\[ x = \frac{8}{2} \] \[ x = 4 \] Step 4: Final Answer:
The value of \(x\) is 4. This corresponds to option (D).