Question

How many solutions does the equation below have?

5
(
�
−
2
)
=
8
+
5
�
5(x−2)=8+5x

no solution

one solution

two solutions

infinitely many solutions

Answer 1

It has no solution.

Explanation:

5(x - 2) = 8 + 5x

5x - 10 = 8 + 5x

5x = 18 + 5x

0 = 18

The variable cancels out, so there is no solution to substitute it for.