Question

Please answer this ASAP

Solve for x.
2x−4=6−3x

A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4

Answer 1

x = 2

Explanation:

First, let's write out our equation:

`2x-4=6-3x`

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

`2x-4+4=6-3x+4\\2x=-3x + 10`

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

`2x + 3x = -3x + 3x + 10`

And then I'll add like terms:

`5x=10`

Now, all we have to do is divide both sides by 5:

`5x/5=10/5\\x=2`

And there's our answer. Hopefully that's helpful! :)