What is #3/2(3b-12)=b#?

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Answer 1 · 2018-06-23T01:49:50

#b=36/7#

Solve:

#3/2(3b-12)=b#

Multiply both sides by #2#.

#color(red)cancel(color(black)(2))^1xx3/color(red)cancel(color(black)(2))^1(3b-12)=bxx2#

Simplify.

#3(3b-12)=2b#

Expand.

#9b-36=2b#

Add #36# to both sides.

#9b=2b+36#

Subtract #2b# from both sides.

#9b-2b=36#

#7b=36#

Divide both sides by #7#.

#b=36/7#