\(\frac{2}{3}\)(9+x)=5(4−x)Simplify:
(\(\frac{2}{3}\))(9)+(\(\frac{2}{3}\))(x)=(5)(4)+(5)(−x)(Distribute)
6+\(\frac{2}{3}\)x=20+−5x\(\frac{2}{3}\)x+6=−5x+20
Step 2: Add 5x to both sides.
\(\frac{2}{3}\)x+6+5x=−5x+20+5x
\(\frac{17}{3}\)x+6=20
Step 3: Subtract 6 from both sides.\(\frac{17}{3}\)x+6−6=20−6\(\frac{17}{3}\)x=14
Step 4: Multiply both sides by \(\frac{3}{17}\).
(\(\frac{3}{17} )\) · (\(\frac{17}{3}x )\) = (\(\frac{3}{17}\))·(14)
Answer = (\(\frac{42}{17}\)
