2(p+1)=5(p-2)

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Solution for 2(p+1)=5(p-2) equation: 


Simplifying
2(p + 1) = 5(p + -2)

Reorder the terms:
2(1 + p) = 5(p + -2)
(1 * 2 + p * 2) = 5(p + -2)
(2 + 2p) = 5(p + -2)

Reorder the terms:
2 + 2p = 5(-2 + p)
2 + 2p = (-2 * 5 + p * 5)
2 + 2p = (-10 + 5p)

Solving
2 + 2p = -10 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
2 + 2p + -5p = -10 + 5p + -5p

Combine like terms: 2p + -5p = -3p
2 + -3p = -10 + 5p + -5p

Combine like terms: 5p + -5p = 0
2 + -3p = -10 + 0
2 + -3p = -10

Add '-2' to each side of the equation.
2 + -2 + -3p = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = -10 + -2
-3p = -10 + -2

Combine like terms: -10 + -2 = -12
-3p = -12

Divide each side by '-3'.
p = 4

Simplifying
p = 4

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