3(4p+5)=5(3p-4)

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Solution for 3(4p+5)=5(3p-4) equation:


Simplifying
3(4p + 5) = 5(3p + -4)

Reorder the terms:
3(5 + 4p) = 5(3p + -4)
(5 * 3 + 4p * 3) = 5(3p + -4)
(15 + 12p) = 5(3p + -4)

Reorder the terms:
15 + 12p = 5(-4 + 3p)
15 + 12p = (-4 * 5 + 3p * 5)
15 + 12p = (-20 + 15p)

Solving
15 + 12p = -20 + 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.
15 + 12p + -15p = -20 + 15p + -15p

Combine like terms: 12p + -15p = -3p
15 + -3p = -20 + 15p + -15p

Combine like terms: 15p + -15p = 0
15 + -3p = -20 + 0
15 + -3p = -20

Add '-15' to each side of the equation.
15 + -15 + -3p = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -3p = -20 + -15
-3p = -20 + -15

Combine like terms: -20 + -15 = -35
-3p = -35

Divide each side by '-3'.
p = 11.66666667

Simplifying
p = 11.66666667

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