Solve for x: 2(x-7)= 4(x-10)

Question

Solve for x

Answer 1

The first thing to do, Hunter, is expand on each side of the equal sign:  

2x-14=4x-40.

Then add 40 to both sides and subtract 2x from both sides:

2x-2x-14+40=4x-2x-40+40    26=2x

Divide by 2:

26/2=2x/2   13=x.

 

Check:

(2*13)-14=(4*13)-40

26-14=52-40

12=12

 

Answer 2

2(x-7) = 4(x-10)

 

First we need to apply the distributive Law, which states a(b-c) = ab - ac

 

2(x-7) = 4(x-10)

2x - 2*7 = 4x - 4*10

2x - 14 = 4x - 40

 

Now add 40 to both sides:

 

2x + 26 = 4x

 

Now subtract 2x from both sides:

 

26 = 2x

 

Divide by 2:

 

x = 13

 

Check:

2(x-7) = 4(x-10)

2(13-7) = 4(13-10)        [Since x=13, substitute 13 for x]

2(6) = 4(3)

12 = 12

Check!

 

 

Answer 3

2x-14=4x-40

 

2x=26

 

x=13