Answer:
[tex]x=\frac{8}{9} [/tex]
Step-by-step explanation:
The given equation is
[tex] \frac{3x}{4}-\frac{1}{3}=1 - \frac{2}{3} [/tex]
We multiply each term by the Lowest Common Multiple of 4 and 3, which is 12
[tex]12(\frac{3x}{4})-12(\frac{1}{3})=12(1)-12(\frac{2}{3})[/tex]
[tex] 3(3x)-4(1)=12-4(2)[/tex]
[tex] \implies 9x-4=12-8[/tex]
[tex] \implies 9x-4=4[/tex]
Add 4 to both sides of the equation,
[tex] \implies 9x-4+4=4+4[/tex]
[tex] \implies 9x=8[/tex]
Divide both sides by the coefficient of x
[tex] \implies \frac{9x}{9}=\frac{8}{9} [/tex]
[tex] \implies x=\frac{8}{9} [/tex]
