Question

Solve the following equation. Then enter your answer in the space provided using mixed number format.

7(x - 2) = 3(x + 4)

This is what I've worked out...

Answer 1

This is what I've worked out...
7(x - 2) = 3(x + 4) <--- Original
7x - 14 = 3x + 12 <--- Distrubution
7x - 14 + 14 = 3x + 12 + 14 <--- Move the 14
7x = 3x + 26
7x - 3x = 3x + 26 - 3x <--- Move the 3x
4x = 26
\[\frac{ 4x }{ 4 } = \frac{ 26 }{ 4 }\]
x = 6

So why does it want it in mixed number format? And how?

Answer 2

@jabez177 @AloneS @Awolflover1

Answer 3

The answer (I turned the lesson in) is 6 1/2....but how do you get that from 7(x - 2) = 3(x + 4)?

@Will.H

Answer 4

you are wrong!

you did everything right
However last step when dividing
x = 26/4 is equal to 6.5 or 6 1/2 not 6

Answer 5

make sense?

Answer 6

7(x - 2) = 3(x + 4)
7x-14=3x+12
4x-14=12
4x=26
x=26/4 which reduces to 13/2

Answer 7

Oh, yeah I get it. Thank you both ^_^ :)