Question

3/2 (x+8) = 6x

solving Equations Containing Fractions

Answer 1

lets go step by step

Answer 2

the \(\frac{3}{2}\) out front is annoying
we can get rid of it by multpying both sides the the reciprocal, which is \(\frac{2}{3}\) because
\[\frac{3}{2}\times \frac{2}{3}=1\]

Answer 3

so the first step will be to multiply both sides by \(\frac{2}{3}\) to get
\[x+8=6x\times \frac{2}{3}\] or
\[4+8=4x\]

Answer 4

hahahahaha you said it was annoying

Answer 5

the whole prob is annoying

Answer 6

now you have \(x\)'s on both sides of the equal sign
you want them on one side only
so you can arrange this by subtracting \(x\) from both sides
that gives
\[8=3x\]

Answer 7

oh damn i see i made a typo above
it should be
\[x+8=4x\]

Answer 8

so far so good

Answer 9

now your last job is to divide both sides by \(3\) to get \(x\) by itself
\[8=3x\]
\[\frac{8}{3}=x\]

Answer 10

2.6666666

Answer 11

that doesnt look right