Question

TM= 3x + 5 MQ= x + 17 solve for x

Answer 1

TM=MQ
3x+5=x+17
-x       -x
___________
2x+5=17
     -5 -5
__________
2x=12
__  __
2x   2x

the answer is x=6

Answer 2

The angles 3x + 5 and x + 17 are opposite by the vertex, so they are the same.

3x + 5 = x + 17
3x - x = 17 - 5
2x = 12
$x = \frac{12}{2}$
$\boxed{\boxed{x = 6}}\end{array}}\qquad\quad\checkmark$