Answer:
[tex]x=-\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} -4x+\frac{7}{2} =-9x+\frac{5}{6}[/tex]
Adjust Fractions based on the Least Common Multiplier (LCM)
[tex]-4x+\frac{4}{6} +\frac{21}{6} =-9x+\frac{5}{6}[/tex]
Solve the addition then subtract from each side
[tex]-4x+\frac{25}{6} -\frac{25}{6} =-9x+\frac{5}{6} -\frac{25}{6}[/tex]
Simplify & Add
[tex]-4x +9x=-9x-\frac{10}{3}+9x[/tex]
Simplify
[tex]5x=-\frac{10}{3}[/tex]
Divide
[tex]\frac{5x}{5} =\frac{-\frac{10}{3}}{5}[/tex]
Simplify
[tex]x=-\frac{2}{3}[/tex]
