The image suggests that RST is an isosceles triangle, and that RW is the height for the base TS. This means that TW=WS, because W is the midpoint of TS.
So, you have
[tex] 2x+2 = 4x-12 [/tex]
Subtract 2x from both sides:
[tex] 2 = 2x-12 [/tex]
Add 12 to both sides:
[tex] 14 = 2x [/tex]
Divide both sides by 2:
[tex] x = 7 [/tex]
TW = SW the ticks marks show they are congruent
2x + 2 = 4x - 12 substitution
2 = 2x - 12 subtraction property of equality
14 = 2x addition property of equality
7 = x division property of equality
Answer: D
