How do you solve #-3( 7p - 5) = - 19- 4p#?

1 Answer
Jim G.
Sep 8, 2017

#p=2#

Explanation:

#"distribute the bracket on the left side of the equation"#

#-21p+15=-19-4p#

#"collect terms in p on the left side and numeric values on "#
#"the right side"#

#"add 4p to both sides"#

#-21p+4p+15=-19cancel(-4p)cancel(+4p)#

#rArr-17p+15=-19#

#"subtract 15 from both sides"#

#-17pcancel(+15)cancel(-15)=-19-15#

#rArr-17p=-34#

#"divide both sides by - 17"#

#(cancel(-17) p)/cancel(-17)=(-34)/(-17)#

#rArrp=2#

#color(blue)"As a check"#

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

#"left "=-3(14-5)=-3xx9=-27#

#"right "=-19-(4xx2)=-19-8=-27#

#rArrp=2" is the solution"#

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