5(p+3)+9=39(p-2)+6

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Solution for 5(p+3)+9=39(p-2)+6 equation:


Simplifying
5(p + 3) + 9 = 39(p + -2) + 6

Reorder the terms:
5(3 + p) + 9 = 39(p + -2) + 6
(3 * 5 + p * 5) + 9 = 39(p + -2) + 6
(15 + 5p) + 9 = 39(p + -2) + 6

Reorder the terms:
15 + 9 + 5p = 39(p + -2) + 6

Combine like terms: 15 + 9 = 24
24 + 5p = 39(p + -2) + 6

Reorder the terms:
24 + 5p = 39(-2 + p) + 6
24 + 5p = (-2 * 39 + p * 39) + 6
24 + 5p = (-78 + 39p) + 6

Reorder the terms:
24 + 5p = -78 + 6 + 39p

Combine like terms: -78 + 6 = -72
24 + 5p = -72 + 39p

Solving
24 + 5p = -72 + 39p

Solving for variable 'p'.

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

Add '-39p' to each side of the equation.
24 + 5p + -39p = -72 + 39p + -39p

Combine like terms: 5p + -39p = -34p
24 + -34p = -72 + 39p + -39p

Combine like terms: 39p + -39p = 0
24 + -34p = -72 + 0
24 + -34p = -72

Add '-24' to each side of the equation.
24 + -24 + -34p = -72 + -24

Combine like terms: 24 + -24 = 0
0 + -34p = -72 + -24
-34p = -72 + -24

Combine like terms: -72 + -24 = -96
-34p = -96

Divide each side by '-34'.
p = 2.823529412

Simplifying
p = 2.823529412

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