How do you solve #6p + 15= 6p + 18+ 3p#?

2 Answers
marfre
Jul 19, 2018

#p = -1#

Explanation:

Given: #6p + 15 = 6p + 18 + 3p#

Add terms that are alike on both sides of the equation:

#6p + 15 = (6p + 3p) + 18#

#6p + 15 = 9p + 18#

Get the terms that are alike on the same side of the equation.

Subtract #15# from both sides:

#6p = 9p + 18 - 15#

#6p = 9p + 3#

Subtract #9p# from both sides:

#6p - 9p = 3#

#-3p = 3#

Divide by #-3# on both sides:

#(-3p)/-3 = 3/-3#

#p = -1#

CHECK the answer:

#6(-1) + 15 = 6(-1) + 18 + 3(-1)#

#-6 + 15 = -6 + 18 -3#

#9 = 9" "# TRUE

marfre
Jul 19, 2018

#p = -1#

Explanation:

Given: #6p + 15 = 6p + 18 + 3p#

Add terms that are alike on both sides of the equation:

#6p + 15 = (6p + 3p) + 18#

#6p + 15 = 9p + 18#

Get the terms that are alike on the same side of the equation.

Subtract #15# from both sides:

#6p = 9p + 18 - 15#

#6p = 9p + 3#

Subtract #9p# from both sides:

#6p - 9p = 3#

#-3p = 3#

Divide by #-3# on both sides:

#(-3p)/-3 = 3/-3#

#p = -1#

CHECK the answer:

#6(-1) + 15 = 6(-1) + 18 + 3(-1)#

#-6 + 15 = -6 + 18 -3#

#9 = 9" "# TRUE

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