5(p+2)=2(2p-15)+3p

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Solution for 5(p+2)=2(2p-15)+3p equation: 


Simplifying
5(p + 2) = 2(2p + -15) + 3p

Reorder the terms:
5(2 + p) = 2(2p + -15) + 3p
(2 * 5 + p * 5) = 2(2p + -15) + 3p
(10 + 5p) = 2(2p + -15) + 3p

Reorder the terms:
10 + 5p = 2(-15 + 2p) + 3p
10 + 5p = (-15 * 2 + 2p * 2) + 3p
10 + 5p = (-30 + 4p) + 3p

Combine like terms: 4p + 3p = 7p
10 + 5p = -30 + 7p

Solving
10 + 5p = -30 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
10 + 5p + -7p = -30 + 7p + -7p

Combine like terms: 5p + -7p = -2p
10 + -2p = -30 + 7p + -7p

Combine like terms: 7p + -7p = 0
10 + -2p = -30 + 0
10 + -2p = -30

Add '-10' to each side of the equation.
10 + -10 + -2p = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -2p = -30 + -10
-2p = -30 + -10

Combine like terms: -30 + -10 = -40
-2p = -40

Divide each side by '-2'.
p = 20

Simplifying
p = 20

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