How do you solve #(x - 4) \frac { 2} { 3} = 25#?

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Answer 1 · 2017-11-10T04:04:24

#x=83/2=41 1/2=41.5#

Start by simplifying the problem. Get rid of the fraction by multiplying both sides by #3#.

#(x-4)2/3color(red)(xx3)=25color(red)(xx3)#

#(x-4)2=75#

Distribute the #2# into the binomial on the left

#2x-8=75#

Add #8# to both sides

#2x-8color(red)(+8)=75color(red)(+8)#

#2x=83#

Finally, divide both sides by #2#

#x=83/2=41 1/2=41.5#