How many solutions does the equation x+5+2x=5+3x

X + 5 + 2x = 5 + 3x

Combine like terms on the left hand side:

3x + 5 = 5 + 3x

Subtract 3x to both sides:

5 = 5

Therefore, the equation has infinitely many solutions.

X + 5 + 2x = 5 + 3x

First, we can start off by canceling 5 on each side. This means to get rid of both of the 5s.


Second, let's simplify x + 2x. Since a variable by itself represents 1, we can also see this as 1 + 2x. So, 1 + 2 = 3 and then you carry the variable onto the 3, making it 3x.


Third, as you can see, there's no other way to solve the problem anymore. Since both of the sides are equal, our problem has infinite solutions.