Question:
If \( x + 1 = 3(x - 2) \), what is the value of \( x \)?
If \( x + 1 = 3(x - 2) \), what is the value of \( x \)?
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When solving linear equations, always simplify by expanding and combining like terms, then isolate the variable.
Updated On: Oct 6, 2025
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The Correct Option is D
Solution and Explanation
The given equation is:
\[
x + 1 = 3(x - 2).
\]
First, expand the right-hand side:
\[
x + 1 = 3x - 6.
\]
Next, subtract \( x \) from both sides to move all terms involving \( x \) to the right-hand side:
\[
1 = 2x - 6.
\]
Now, add 6 to both sides to isolate the term with \( x \):
\[
7 = 2x.
\]
Finally, divide both sides by 2 to solve for \( x \):
\[
x = \frac{7}{2}.
\]
Thus, the solution is:
\[
x = \frac{7}{2}.
\]
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