Given RST~ ABC find value of x.

[tex]x + 6 = 2x - 7[/tex]
subtract x to both sides
[tex]6 = x - 7[/tex]
add 7 to both sides
[tex]13 = x[/tex]
Check:
[tex]x + 16[/tex]
[tex](13) + 6 = 19[/tex]
[tex]2x - 7[/tex]
[tex]2(13) - 7 = 26 - 7 = 19[/tex]
19=19