Question

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

Answer 1

Answer:

One Solution

Step-by-step 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 :)