Solve for $x$: $9(x+1)=25+x$

• A. $x=2$
• B. $x=4$
• C. $x=3$
• D. $x=5$

Answer: (A)

Verified step by step guidance

1. Start with the given equation: \$9(x + 1) = 25 + x$.
2. Distribute the 9 on the left side to both terms inside the parentheses: \$9 \times x + 9 \times 1 = 9x + 9$.
3. Rewrite the equation with the distributed terms: \$9x + 9 = 25 + x$.
4. To isolate the variable \(x\), subtract \(x\) from both sides: \$9x - x + 9 = 25\( which simplifies to \)8x + 9 = 25$.
5. Next, subtract 9 from both sides to get \$8x = 25 - 9\(, then divide both sides by 8 to solve for \)x\(: \)x = \frac{25 - 9}{8}$.