Question

Solve 2/3 (x-5) - 1/4 (x-2) = 13/6

Answer 1

Answer:

$\frac{2}{3}(x-5)-\frac{1}{4}(x - 2) =\frac{13}{6}$

$=>\frac{2x - 10}{3} - \frac{x - 2}{4}=\frac{13}{6}$

$=> \frac{4(2x - 10) - 3(x - 2)}{12} = \frac{13}{6}$

$= > \frac{8x - 40 - 3x + 6}{12} = \frac{13}{6}$

$= > \frac{5x - 34}{12} = \frac{13}{6}$

$= > 5x - 34 = \frac{12 \times 13}{6}$

$= > 5x - 34 =2 \times 13$

$= > 5x = 26 + 34$

$= > 5x = 60$

$= > x = \frac{60}{5}$

$= > x = 12$

Answer 2

The answer is 12
In the last process we did cross multiplication, then we got the values of reaction to find its simplest form.



Hope it helped