5(2+p)=3(p+6)

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


Simplifying
5(2 + p) = 3(p + 6)
(2 * 5 + p * 5) = 3(p + 6)
(10 + 5p) = 3(p + 6)

Reorder the terms:
10 + 5p = 3(6 + p)
10 + 5p = (6 * 3 + p * 3)
10 + 5p = (18 + 3p)

Solving
10 + 5p = 18 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
10 + 5p + -3p = 18 + 3p + -3p

Combine like terms: 5p + -3p = 2p
10 + 2p = 18 + 3p + -3p

Combine like terms: 3p + -3p = 0
10 + 2p = 18 + 0
10 + 2p = 18

Add '-10' to each side of the equation.
10 + -10 + 2p = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 2p = 18 + -10
2p = 18 + -10

Combine like terms: 18 + -10 = 8
2p = 8

Divide each side by '2'.
p = 4

Simplifying
p = 4

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