Question

What value of p will make this equation true?

(6p + 4)/6 = (4p - 8)/3


f 2
g -6
h 10
j

Answer 1

try getting rid of the denominators first...

Answer 2

(6p + 4) / 6 = (4p - 8) / 3 ---- multiply by the LCD, which is 6
6p + 4 = 2(4p - 8)
6p + 4 = 8p - 16
6p - 8p = -16 - 4
-2p = -20
p = 10

check..
6p + 4 = 8p - 16
6(10) + 4 = 8(10) - 16
60 + 4 = 80 - 16
64 = 64 (correct)

p = 10

Answer 3

(6p + 4)/6 = (4p - 8)/3

Multiply by 3

(6p + 4)/2 = (4p - 8)

Factor

2(3p + 2)/2 = 4p - 8

Simplify

3p + 2 = 4p - 8

Such operations are easy enough to imagine. Just use the ones you need. The order is not that important.