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Sagot :

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]

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