Question

solve this :

$\frac{(x - 4)}{7} - \frac{(x + 4)}{5} = \frac{(x + 3)}{7}$

Answer 1

Hey Mate!
~~~~~~~~

Here is your answer :
=================================

Given,

$\frac{(x - 4)}{7} - \frac{(x + 4)}{5} = \frac{(x + 3)}{7} \\ \\ \frac{5(x - 4) - 7(x + 4)}{35} = \frac{(x + 3)}{7} \\ \\ \frac{5x - 20 - 7x - 28}{35} = \frac{x + 3}{7} \\ \\ \frac{ - 2 x - 48}{35} = \frac{x + 3}{7} \\ \\ - 2x - 48 = \frac{(x + 3)}{7} \times 35 \\ \\ - 2x - 48 = (x + 3) \times 5 \\ \\ - 2x - 48 = 5x + 15 \\ \\ - 2x - 5x = 15 + 48 \\ \\ - 7x = 63 \\ \\ x = \frac{63}{ - 7} \\ \\ x = - 9$

HOPE THIS HELPS U. . .

Answer 2

(x-4/7)-(x+4/5)=(x+3/7)
===
===
L.c.m. is 35 on L.H.S.



5(x-4)-7(x+4)/35=x+3/7
5x-20-(7x+28)/35=x+3/7
5x-20-7x-28/35=x+3/7
-2x-48/35=x+3/7
====
====

Cross multiplication
===
===
===
7(-2x-48)=35(x+3)
-14x-336=35x+105
-14x-35x=105+336
-49x=441
x=-9