Question

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

Answer 1

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.

Answer 2

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.

`x + 2x = 3x`

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.

`3x = 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.

Answer:
`\fbox {Infinite Solutions}`