ALGEBRA
posted by SAMANTHA on .
please help me explain this in 50 words..
Explain why the equation 6(x + 3) = 6x + 5 has no solution and 7x +18 + 8x = 8(x + 4) + 7x – 14 has infinitely many solutions.

6(x+3)=6x+5
first, distribute the 6, resulting in:
6x18=6x+5
as you can see, these two equations are not the same. if you simplify it further, you get:
6x=6x+23
for the second equation, after distributing the 8 and simplifying both sides, you get x=x, so x can be infinitely different numbers