How do you solve #-3( 4p + 5) - 2( 3- 14p ) = 3( 8+ 5p )#?

1 Answer
Jim G.
Jun 24, 2017

#p=45#

Explanation:

#"distribute brackets on both sides of the equation"#

#-12p-15-6+28p=24+15p#

#rArr16p-21=24+15plarr" simplify left side"#

#"subtract 15p from both sides"#

#16p-15p-21=24cancel(+15p)cancel(-15p)#

#rArrp-21=24#

#"add 21 to both sides"#

#pcancel(-21)cancel(+21)=24+21#

#rArrp=45#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#-3(185)-2(-627)=-555+1254=699#

#3(233)=699#

#"both sides are equal " rArrx=45" is the solution"#

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