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

2 Answers
Mar 10, 2018

#p = 30#

Explanation:

#-3( 5p + 3 ) - 2 ( 3 - 14p ) = 3 ( 5 +4p)#

Solving braces on both sides

#-15p - 9 - 6 +28p = 15 + 12p#

#-15p +28p -12p = 15 + 9 + 6#

#28p - 27p = 30#

#p = 30#

Mar 10, 2018

#p=30#

Explanation:

#-3(5p+3)-2(3-14p)=3(5+4p)#

Distribute

#(-3)(5p)+(-3)(3)+(-2)(3)+(-2)(-14p)=(3)(5)=(3)(4p)#

#-15p - 9 - 6 +28p =15+12p#

#13p - 15= 15 + 12p#

Add #15# on both sides

#13p - 15 + 15 = 15 + 12p + 15#

#13p = 12p + 30#

Subtract #12p# on both sides

#13p - 12p = 12p - 12p + 30#

#p = 30#