#1**+1 **

\(\frac{2x-x}{8}+5=35\)

2x-x=x

\(\frac{x}{8}+5=35\)

To get x by itself, multiply everything by 8.

\(x+40=280\)

Subtract 40 from both sides.

\(x+40-40=280-40\)

\(x=240\)

To verify, plug into the original equation.

\(\frac{2(240)-240}{8}+5=35\)

Simplify.

\(\frac{480-240}{8}+5=35\)

\(\frac{240}{8}+5=35\)

\(\frac{240}{8}=\frac{120}{4}=\frac{60}{2}=\frac{30}{1}\)

30/1=30

\(30+5=35\)

\(35=35\)

This is true, so x is 240.

AdamTaurus
Oct 26, 2017

#2**+1 **

I'm solving a slightly different problem than AT.......which interprtation is correct - who knows??

2x - x / 8 + 5 = 35 subtract 5 from both side

2x - x / 8 = 30 multiply through by 8

16x - x = 240

15x = 240 divide both sides by 15

x = 16

Thanks to AT.....for pointing out my silly error....!!!

CPhill
Oct 26, 2017

#3**0 **

Hey CPhill, on your third step where you multiply through by 8, the 2x wouldn't become 16x. It would stay x, as it would multiply by 8 then also divide by 8.

The way you did it, the answer doesn't work when plugged in.

2(2)-2/8 +5=35

4-2/8+5=35

2/8+5=35

1/4+5=35

21/4=35

This is not true, so x ** can not **equal 2.

Do you see what I mean?

AdamTaurus
Oct 26, 2017