Respuesta :
Answer: [tex]x = -\frac{91}{2}[/tex]
Step-by-step explanation:
If you have any questions, feel free to ask :)
Step 1: Add [tex]2[/tex] to both sides.
[tex]-182 + 2 = 2(1 + 2x)[/tex]
Step 2: Simplify [tex]-182 + 2[/tex] to [tex]-180[/tex].
[tex]-180 = 2(1 + 2x)[/tex]
Step 3: Divide both sides by [tex]2[/tex].
[tex]-\frac{180}{2} = 1 + 2x[/tex]
Step 4: Simplify [tex]\frac{180}{2}[/tex] to [tex]90[/tex].
[tex]-90 = 1 + 2x[/tex]
Step 5: Subtract [tex]1[/tex] from both sides.
[tex]-90 - 1 = 2x[/tex]
Step 6: Simplify [tex]-90 - 1[/tex] to [tex]-91[/tex].
[tex]-91 = 2x[/tex]
Step 7: Divide both sides by [tex]2[/tex].
[tex]-\frac{91}{2} = x[/tex]
Step 8: Switch sides.
[tex]x = -\frac{91}{2}[/tex]
~I hope I helped you :)~