Answer=
[tex]x = \frac { - 42}{5} [/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex]2(1 + 5x) - 1 = - 83[/tex]
Add 1 to both sides of the expression
[tex]2(1 + 5x) - 1 + 1 = - 83 + 1[/tex]
simplify
[tex]2(1 + 5x) = - 82[/tex]
divide both sides of the expression by 2
[tex] \frac{2(1 + 5x)}{2} = \frac{ - 82}{2} [/tex]
simplify the expression
1+5x=-41
subtract 1 from both sides
[tex]1 + 5x - 1= - 41 - 1[/tex]
simplify the expression
[tex]5x = - 42[/tex]
divide both sides of the expression by 5
[tex] \frac{5x}{5} = - \frac{42}{5} [/tex]
simplify we finally get
[tex]x = - \frac{42}{5} [/tex]
Hope it helps !
