*NEED HELP!*
Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.

A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
**you have to drag it into 3 categories either it go in *NEED MAJOR HELP!*
Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.

A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18

**each equation has to go in a category either yes, no or not enough information**

Respuesta :

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]