Solve for x. Assume that lines which appear to be tangent are tangent.

Answer:
7)
[tex]\tt 2x-14=x-2[/tex]
[tex]\tt 2x-x=14-2[/tex]
[tex]\boxed{\tt x=12}[/tex]
~
8)
[tex]\tt -6+7x=5x+10[/tex]
[tex]\tt 7x-5x=6+10[/tex]
[tex]\boxed{\tt x=8}[/tex]
~
9)
[tex]\tt x-2=2x-6[/tex]
[tex]\tt 6-2=x[/tex]
[tex]\boxed{\tt x=4}[/tex]
~
10)
[tex]\tt 2x+10=4x-10[/tex]
[tex]\tt 4x-2x=10+10[/tex]
[tex]\tt 2x=20[/tex]
[tex]\boxed{\tt x=10}[/tex]
~
11)
[tex]\tt 5x+7=4x+15[/tex]
[tex]\tt 5x-4x=15-7[/tex]
[tex]\boxed{\tt x=8}[/tex]
~
12)
[tex]\tt 12x=11x+2[/tex]
[tex]\tt 12x-11x=2[/tex]
[tex]\boxed{\tt x=2}[/tex]
~