How do you solve #2(2.5b -9) +6b =7#?

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Answer 1 · 2018-04-27T02:54:20

#b = 25/11# or about #2.27#

#2(2.5b-9)+6b = 7#

First, expand by distributing #2(2.5b-9)#:
#5b-18+6b=7#

Combine #5b# and #6b#:
#11b - 18 = 7#

Add #color(red)(18)# to both sides of the equation:
#11b - 18 quadcolor(red)(+quad18) = 7 quadcolor(red)(+quad18)#

#11b = 25#

Divide both sides by #11#:
#(11b)/color(red)(11) = 25/color(red)(11)#

So the final answer is:
#b = 25/11# or about #2.27#

Hope this helps!