p+(p-2)+3*(p-2)=52

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Solution for p+(p-2)+3*(p-2)=52 equation:


Simplifying
p + (p + -2) + 3(p + -2) = 52

Reorder the terms:
p + (-2 + p) + 3(p + -2) = 52

Remove parenthesis around (-2 + p)
p + -2 + p + 3(p + -2) = 52

Reorder the terms:
p + -2 + p + 3(-2 + p) = 52
p + -2 + p + (-2 * 3 + p * 3) = 52
p + -2 + p + (-6 + 3p) = 52

Reorder the terms:
-2 + -6 + p + p + 3p = 52

Combine like terms: -2 + -6 = -8
-8 + p + p + 3p = 52

Combine like terms: p + p = 2p
-8 + 2p + 3p = 52

Combine like terms: 2p + 3p = 5p
-8 + 5p = 52

Solving
-8 + 5p = 52

Solving for variable 'p'.

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

Add '8' to each side of the equation.
-8 + 8 + 5p = 52 + 8

Combine like terms: -8 + 8 = 0
0 + 5p = 52 + 8
5p = 52 + 8

Combine like terms: 52 + 8 = 60
5p = 60

Divide each side by '5'.
p = 12

Simplifying
p = 12

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