How do you solve 3(x-2)+2(x+5)=5(x+1)+13(x2)+2(x+5)=5(x+1)+1?

1 Answer
Jan 9, 2017

See below

There are no values of xx which are a solution to the problem therefore xx is the null set or x = {O/}x={}

Explanation:

Expand the terms in parenthesis:

3x - 6 + 2x + 10 = 5x + 5 + 13x6+2x+10=5x+5+1

5x + 4 = 5x + 65x+4=5x+6

Subtract 5x5x from each side of the equation:

5x - 5x + 4 = 5x -5x + 65x5x+4=5x5x+6

0 + 4 = 0 + 60+4=0+6

4 = 64=6

Because 4 != 646 there are no values of xx which are a solution to the problem therefore xx is the null set or x = {O/}x={}