x+\left(\frac{x}{320}\cdot 200\cdot 0.05\right)+\left(\frac{x}{320}\cdot 120\cdot 0.19\right)=780
You asked:
Solve the equation \(x + \frac{x}{320} \cdot 200 \cdot 0.05 + \frac{x}{320} \cdot 120 \cdot 0.19 = 780\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = \frac{104000}{147} = 707.\overline{482993197278911564625850340136054421768707}\]
\[\begin{aligned}x + \frac{x}{320} \cdot 200 \cdot 0.05 + \frac{x}{320} \cdot 120 \cdot 0.19 &= 780\\1.1025 x &= 780\\x &= \frac{104000}{147}\end{aligned}\]