[tex]2x - 7 = 117[/tex]
Add 7 to both sides
[tex]7 + 2x - 7 = 117 + 7[/tex]
At the left hand side 7 will cancel 7
At the right hand side 7 will add up
[tex]2x = 124[/tex]
Divide through by 2
[tex]x = \frac{124}{2} [/tex]
simplify the fraction
[tex]x = 62[/tex]