Question

3x over 4 - 1/3 = 1 - 2/3

Answer 1

Answer:

$x=\frac{8}{9}$

Step-by-step explanation:

The given equation is

$\frac{3x}{4}-\frac{1}{3}=1 - \frac{2}{3}$

We multiply each term by the Lowest Common Multiple of 4 and 3, which is 12

$12(\frac{3x}{4})-12(\frac{1}{3})=12(1)-12(\frac{2}{3})$

$3(3x)-4(1)=12-4(2)$

$\implies 9x-4=12-8$

$\implies 9x-4=4$

Add 4 to both sides of the equation,

$\implies 9x-4+4=4+4$

$\implies 9x=8$

Divide both sides by the coefficient of x

$\implies \frac{9x}{9}=\frac{8}{9}$

$\implies x=\frac{8}{9}$