2+4(3p-5)=10(2p+3)

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Solution for 2+4(3p-5)=10(2p+3) equation: 


Simplifying
2 + 4(3p + -5) = 10(2p + 3)

Reorder the terms:
2 + 4(-5 + 3p) = 10(2p + 3)
2 + (-5 * 4 + 3p * 4) = 10(2p + 3)
2 + (-20 + 12p) = 10(2p + 3)

Combine like terms: 2 + -20 = -18
-18 + 12p = 10(2p + 3)

Reorder the terms:
-18 + 12p = 10(3 + 2p)
-18 + 12p = (3 * 10 + 2p * 10)
-18 + 12p = (30 + 20p)

Solving
-18 + 12p = 30 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
-18 + 12p + -20p = 30 + 20p + -20p

Combine like terms: 12p + -20p = -8p
-18 + -8p = 30 + 20p + -20p

Combine like terms: 20p + -20p = 0
-18 + -8p = 30 + 0
-18 + -8p = 30

Add '18' to each side of the equation.
-18 + 18 + -8p = 30 + 18

Combine like terms: -18 + 18 = 0
0 + -8p = 30 + 18
-8p = 30 + 18

Combine like terms: 30 + 18 = 48
-8p = 48

Divide each side by '-8'.
p = -6

Simplifying
p = -6

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