-3(6P+6)-2(4-17P)=3(7+5P)

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Solution for -3(6P+6)-2(4-17P)=3(7+5P) equation: 


Simplifying
-3(6P + 6) + -2(4 + -17P) = 3(7 + 5P)

Reorder the terms:
-3(6 + 6P) + -2(4 + -17P) = 3(7 + 5P)
(6 * -3 + 6P * -3) + -2(4 + -17P) = 3(7 + 5P)
(-18 + -18P) + -2(4 + -17P) = 3(7 + 5P)
-18 + -18P + (4 * -2 + -17P * -2) = 3(7 + 5P)
-18 + -18P + (-8 + 34P) = 3(7 + 5P)

Reorder the terms:
-18 + -8 + -18P + 34P = 3(7 + 5P)

Combine like terms: -18 + -8 = -26
-26 + -18P + 34P = 3(7 + 5P)

Combine like terms: -18P + 34P = 16P
-26 + 16P = 3(7 + 5P)
-26 + 16P = (7 * 3 + 5P * 3)
-26 + 16P = (21 + 15P)

Solving
-26 + 16P = 21 + 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.
-26 + 16P + -15P = 21 + 15P + -15P

Combine like terms: 16P + -15P = 1P
-26 + 1P = 21 + 15P + -15P

Combine like terms: 15P + -15P = 0
-26 + 1P = 21 + 0
-26 + 1P = 21

Add '26' to each side of the equation.
-26 + 26 + 1P = 21 + 26

Combine like terms: -26 + 26 = 0
0 + 1P = 21 + 26
1P = 21 + 26

Combine like terms: 21 + 26 = 47
1P = 47

Divide each side by '1'.
P = 47

Simplifying
P = 47

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