Question

Solve for x: 2 over 5 (x - 4) = 2x.

Answer 1

What...? Why'd you move the 2 around?

Answer 2

The equation is

\[\Large \frac{2}{5}(x-4) = 2x\]

right?

Answer 3

Yessir

Answer 4

Multiply both sides by 5

\[\Large \frac{2}{5}(x-4) = 2x\]

\[\Large 5*\frac{2}{5}(x-4) = 5*2x\]

\[\Large 2(x-4) = 10x\]

Answer 5

Then distribute

\[\Large 2(x-4) = 10x\]

\[\Large 2x-8 = 10x\]

I'll let you finish up

Answer 6

I've got no idea... I tried adding 8 to both sides, then dividing, and I tried leaving it and filling in for x.. Is there some mathematical way to find x?

Answer 7

why not subtract 2x from both sides

Answer 8

what do you get?

Answer 9

\[2x-2x - 8 =10x -2x\]
\[- 8 =8x \]
\[\frac{ - 8 =8x }{ 8 }\]
\[x = -1\]

Answer 10

you got it

Answer 11

line 3 has odd notation, but that's fine really

Answer 12

Thank you. I forgot you could subtract the 2x on both sides. I was meant to represent division

Answer 13

It*

Answer 14

np