Question:
What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?
What is the value of \( x \) in the equation \( 2(x + 3) = 5x - 4 \)?
Updated On: Oct 6, 2025
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Solution and Explanation
Step 1: Expand the brackets on the left-hand side.
\[ 2(x + 3) = 5x - 4 \] Multiply \( 2 \) by both terms inside the bracket: \[ 2x + 6 = 5x - 4 \]
Step 2: Move all \( x \)-terms to one side and constants to the other.
Subtract \( 2x \) from both sides: \[ 2x + 6 - 2x = 5x - 4 - 2x \] Simplifies to: \[ 6 = 3x - 4 \]
Step 3: Add 4 to both sides to isolate the term with \( x \).
\[ 6 + 4 = 3x - 4 + 4 \] Simplifies to: \[ 10 = 3x \]
Step 4: Divide both sides by 3.
\[ x = \frac{10}{3} \]
Final Answer: \(\boxed{x = \frac{10}{3}}\)
Short Explanation (Why this works)
Use the distributive property to expand, then apply the balance method to isolate \( x \). After simplifying, \( x \) equals \( \frac{10}{3} \).
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