18:x+4=9:x-3
You asked:
Solve \(18 : x + 4=9 : x - 3\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= 10\end{aligned}$$
Express both ratios as fractions. \[\frac{18}{x + 4} = \frac{9}{x - 3}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{18}{x + 4} &= \frac{9}{x - 3} \\ 18 x - 54 &= 9 x + 36 \\ x &&= 10 \end{aligned}$$