How do you solve -3/(4x) + 3/8 = 27/3234x+38=2732?

2 Answers
Mar 24, 2018

x = -1.6x=1.6

Explanation:

-3/(4x) + 3/8 = 27/3234x+38=2732
-3/(4x) = 27/32- 3/834x=273238
-3/(4x) = 27/32 - 12/3234x=27321232
-3/(4x) = 15/3234x=1532
By cross-multiplication:
4x*15 = -3*324x15=332
60x = -9660x=96
x = -96/60x=9660
x = -1.6x=1.6

Mar 24, 2018

x=-8/5x=85

Explanation:

Before we do anything, we need to get a common denominator of 3232.

-3/4x=-24/32x34x=2432x (multiplying top and bottom by 8)

3/8=12/3238=1232 (multiplying top and bottom by 4)

27/322732 will stay the same

Thus, we have

-24/32x+12/32=27/322432x+1232=2732

We can subtract 12/321232 from both sides to get

-24/32x=15/322432x=1532

We can cross multiply to get:

x=(-24*cancel32)/(cancel32*15)

Since the 32s will cancel, we're left with:

(-24)/(15)

Which can be simplified to x=-8/5