Question:
If \( 4x + 7 = 3x + 12 \), what is the value of \( x \)?
Options
If \( 4x + 7 = 3x + 12 \), what is the value of \( x \)?
Options
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To solve linear equations, isolate the variable by using inverse operations step by step.
Updated On: Oct 4, 2025
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The Correct Option is C
Solution and Explanation
Start with the equation:
\[
4x + 7 = 3x + 12.
\]
Step 1: Subtract \( 3x \) from both sides.
[6pt] \[ 4x + 7 - 3x = 3x + 12 - 3x
\Rightarrow
x + 7 = 12. \] Step 2: Subtract 7 from both sides.
[6pt] \[ x + 7 - 7 = 12 - 7
\Rightarrow
x = 5. \] Conclusion:
[6pt] The solution to the equation is: \[ \boxed{x = 5}. \]
[6pt] \[ 4x + 7 - 3x = 3x + 12 - 3x
\Rightarrow
x + 7 = 12. \] Step 2: Subtract 7 from both sides.
[6pt] \[ x + 7 - 7 = 12 - 7
\Rightarrow
x = 5. \] Conclusion:
[6pt] The solution to the equation is: \[ \boxed{x = 5}. \]
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