check if the resulting expression is always true, sometimes true, or never true for all values of x.
We can simplify the given equation as follows:
5(4 + 2x) + 5 = 3(2x + 5) + 4x + 10
20 + 10x + 5 = 6x + 15 + 4x + 10 (distribute)
30 + 10x = 10x + 25 (combine like terms)
10x - 10x = 25 - 30 (move terms)
0 = -5
The simplified equation is always false, regardless of the value of x. Therefore, there are no solutions to this equation. In other words, there is no value of x that would make the original equation true.
So the answer is zero solutions.