Answer and Step-by-step explanation:
[tex]Hello!~[/tex]
[tex]Let's~answer~your~question![/tex]
[tex]So,~for~this~equation,~we~need~to~use[/tex] [tex]~the~distributive~property~of[/tex] [tex]~multiplication.~but,before~we~start~to~solve[/tex] [tex]this~equation,~let's~get~to~know~what[/tex]
[tex]distributive ~property ~of~multiplication~means![/tex]
Distributive property of multiplication :
[tex]Distributive~property~of~multiplication~states~that[/tex][tex]when~a~~number~is~multiplied[/tex]
[tex]by~the ~sum ~of~ two~ numbers,[/tex] [tex]the~ first~ number ~can~ be ~distributed ~to[/tex] [tex]both ~of~those[/tex] [tex]numbers~and~multiplied~by~each~of~them[/tex] [tex]separately.[/tex]
→ [tex]a*(b+c)=a*b*+~a*c[/tex]
Now, that we know what it means let's apply it in our equation:
[tex](2*x)+(2*7)=36[/tex]
Now, we simplify:
[tex]2x+14=36[/tex]
Divide both sides by 2 in the equation:
[tex]\frac{2x+14}{2} =\frac{36}{2}[/tex]
Simplify :
[tex]x+7=18[/tex]
Thus, the first correct step is option B,
[tex]then~comes,~option~"A"~then,~option~"F"~as~shown~above[/tex] [tex]The~remaining~options~are~not~enough~information~to~solve~the~given[/tex] [tex]equation:(x + 7) = 36.[/tex]