How many solutions does the equation have?

2x + 3 = 4x + 2

It is linear equation so it has only one solution.

so number of solution depends upon max degree of variable

Well, solve for x.

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = - 2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = - 1

Equation:

-2x = - 1

Isolate x by performing the opposite operation of dividing - 2 on both sides of the equation

On the left:

-2x : - 2 = 1

On the right:

-1 : - 2 = 1/2

x = 1/2

So, there is only one solution: 1/2