Question

2/3(x-5)-1/4(x-2)=9/2
find x​

Answer 1

Answer:

x =17.5

Step-by-step explanation:

solution----->

Given :-

$\frac{2}{3} \times (x - 5) - \frac{1}{4} \times (x - 2) = \frac{9}{2}$

$\frac{2}{3} \times (x - 5) - \frac{1}{4} \times (x - 2) = \frac{9}{2} \\ \\ \frac{2(x - 5)}{3} - \frac{(x - 2)}{4} = \frac{9}{2} \\ \\ \frac{2x - 10}{3} - \frac{x - 2}{4} = \frac{9}{2} \\ \\ cross \: multiply \: this \\ \\ \frac{4(2x - 10) - 3(x - 2)}{12} = \frac{9}{2} \\ \\ \frac{8x - 40 - 3x + 6}{12} = \frac{9}{2} \\ \\ \frac{5x - 34}{12} = \frac{9}{2} \\ \\ again \: cross \: multiply \\ \\ 2(5x - 34) = 9 \times 12 \\ \\ 10x - 68 = 108 \\ \\ 10x = 108 + 68 \\ \\ x = \frac{174}{10} \\ \\ x = 17.4$