Hey there!
The answer to your question is infinitely many solutions.
First, we will simplify each side of the equation. On the left side, we are given:
[tex]2(x+5)+2[/tex]
First, distribute [tex]2[/tex]:
[tex]2x+10+2[/tex]
Add [tex]10[/tex] and [tex]2[/tex]:
[tex]2x +12[/tex]
On the right side, we are given:
[tex]4x+12-2x[/tex]
So, we subtract [tex]2x[/tex] from [tex]4x[/tex]:
[tex]2x+12[/tex]
Now, we have:
[tex]2x+12=2x+12[/tex]
First, subtract [tex]2x[/tex] from both sides:
[tex]12=12[/tex]
We got, [tex]12=12[/tex], which means [tex]x[/tex] has infinitely many solutions.
Have a terrificly amazing day! :)
