Question

Solve: x-1/2 - x-2/3 = x-4/7

Answer 1

(-3-4)/6=(7x-4)/7

-7=(7x-4)/7

-7*7=7x-4

-49=7x-4

-49+4=7x

-45=7x

-45/7=x

x= -6.428

Answer 2

Given :

$\frac{x-1}{2}-\frac{x-2}{3}=\frac{x-4}{7}$

To find :

Value of x

Solution:

$\frac{x-1}{2}-\frac{x-2}{3}=\frac{x-4}{7}$

$\frac{3x-3-2x+4}{6}=\frac{x-4}{7}$

$\frac{x+1}{6}=\frac{x-4}{7}$

$7(x+1)=6(x-4)$

$7x+7=6x-24$

x=-31

Hence The value of x is -31