Question

1. x + 8x + 9 = 84

Explanation:

Step1: Combine like terms

The equation is \( x + 8x + 9 = 24 \). Combine the \( x \) terms: \( x + 8x = 9x \), so the equation becomes \( 9x + 9 = 24 \).

Step2: Subtract 9 from both sides

Subtract 9 from each side: \( 9x + 9 - 9 = 24 - 9 \), which simplifies to \( 9x = 15 \).

Step3: Divide by 9

Divide both sides by 9: \( x=\frac{15}{9} \), and simplify the fraction to \( x = \frac{5}{3} \) (or approximately \( 1.67 \)).

Answer:

\( x=\frac{5}{3} \) (or \( x\approx1.67 \))