3(3p+7)=15(p-4)

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Solution for 3(3p+7)=15(p-4) equation:


Simplifying
3(3p + 7) = 15(p + -4)

Reorder the terms:
3(7 + 3p) = 15(p + -4)
(7 * 3 + 3p * 3) = 15(p + -4)
(21 + 9p) = 15(p + -4)

Reorder the terms:
21 + 9p = 15(-4 + p)
21 + 9p = (-4 * 15 + p * 15)
21 + 9p = (-60 + 15p)

Solving
21 + 9p = -60 + 15p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-15p' to each side of the equation.
21 + 9p + -15p = -60 + 15p + -15p

Combine like terms: 9p + -15p = -6p
21 + -6p = -60 + 15p + -15p

Combine like terms: 15p + -15p = 0
21 + -6p = -60 + 0
21 + -6p = -60

Add '-21' to each side of the equation.
21 + -21 + -6p = -60 + -21

Combine like terms: 21 + -21 = 0
0 + -6p = -60 + -21
-6p = -60 + -21

Combine like terms: -60 + -21 = -81
-6p = -81

Divide each side by '-6'.
p = 13.5

Simplifying
p = 13.5

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