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

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


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

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

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

Solving
10 + 2p = -12 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
10 + 2p + -4p = -12 + 4p + -4p

Combine like terms: 2p + -4p = -2p
10 + -2p = -12 + 4p + -4p

Combine like terms: 4p + -4p = 0
10 + -2p = -12 + 0
10 + -2p = -12

Add '-10' to each side of the equation.
10 + -10 + -2p = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -2p = -12 + -10
-2p = -12 + -10

Combine like terms: -12 + -10 = -22
-2p = -22

Divide each side by '-2'.
p = 11

Simplifying
p = 11

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