Question

How many solutions does this equation have? 4x+(-3x+2)=2x+5-2

Answer 1

One Solution

Explanation:

So we have the equation:

`4x+(-3x+2)=2x+5-2`

On both sides, combine like terms:

`(4x-3x)+2=2x+(5-2)`

Simplify:

`x+2=2x+3`

Subtract x from both sides. The left cancels:

`(x+2)-x=(2x+3)-x\\2=x+3`

Subtract 3 from both sides. The right cancels:

`(2)-3=(x+3)-3\\-1=x`

Flip:

`x=-1`

So, our equation only has one solution.

And the answer is -1 :)