Hey there!
In order to find out the answer to this question, we can distribute
[tex]-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197 [/tex]
Flip your problem around!
[tex]2x - 194 = -30 [/tex]
Add by [tex]194 [/tex] on each of your sides
Like: [tex]2x - 194 + 194 \\ \\ \\ -30 + 194 [/tex]
Cancel out: [tex]-194 + 194 [/tex] because they would give you the outcome of [tex]0[/tex]
Keep: [tex]-30 + 194 [/tex] because that'll give you: [tex]164 [/tex]
Your problem becomes: [tex]2x = 164 [/tex]
Now, we have to divide by [tex]2[/tex] on each of the sides
Like: [tex] \frac{2x}{2} = \frac{164}{2} [/tex]
Cancel: [tex] \frac{2x}{2} [/tex] because it will give you a outcome of [tex]1[/tex]
Keep: [tex] \frac{164}{2} [/tex] because this will give you your answer
[tex]Answer: x = 82 [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
