Question 183277
Let x=smaller integer
And 20-x=the larger integer

Now we are told that:
5*x-2=2(20-x) get rid of parens
5x-2=40-2x  add 2 and also 2x to each side
5x-2+2+2x=40+2-2x+2x  collect like terms
7x=42  divide each side by 7
x=6-------------------------------smaller integer
20-x=20-6=14 larger integer



CK
5*6-2=2*14
28=28

This could also be solved using two unknowns
x=smaller
y=larger
x+y=20-------------------eq1
5x-2=2y--------------------eq2

Hope this helps---ptaylor