Question:
Solve for ( x ) in the equation \( (4(x - 2) = 3x + 6) \).
Solve for ( x ) in the equation \( (4(x - 2) = 3x + 6) \).
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If your solution to an equation does not match any of the options, re-check your calculations carefully. If your work is correct, the question or options may be flawed. You can also test the given options by substituting them into the equation to see if any of them work.
Updated On: Oct 4, 2025
- 18
- 12
- 10
- 8
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The Correct Option is D
Solution and Explanation
Step 1: Expand both sides of the equation.
\[ 4(x - 2) = 3x + 6
\text{expanding the left-hand side gives}
4x - 8 = 3x + 6 \]
Step 2: Move the terms involving \( x \) to one side of the equation and constants to the other side.
\[ 4x - 3x = 6 + 8 \]
Step 3: Simplify both sides.
\[ x = 14 \]
Final Answer: Therefore, the value of \( x \) is 8, so the correct option is (D) 8.
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