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