How do you solve #3x/8=9/2#?

2 Answers
Apr 29, 2018

#x=12#

Explanation:

Our problem can be rewritten as

#(3x)/8=9/2#

Which can in turn be rewritten as

#3/8*x=9/2#

Next, we can multiply both sides by the reciprocal of #3/8# to get

#x=9/2*8/3#

#x=color(blue)3cancel(9)/cancel2*color(blue)4cancel(8)/cancel3#

#x=12#

In the step above, I factored out a #3#, which left #3#, and I factored out a #2#, which left #4#.

Hope this helps!

Apr 29, 2018

#x = 12#

Explanation:

#6x/8 = 9# (Multiply both sides by 2)

#6x = 72# (Multiply both sides by 8)

#x = 12# (Divide by 6)