p-3(p-5)=10

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


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

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

Reorder the terms:
15 + p + -3p = 10

Combine like terms: p + -3p = -2p
15 + -2p = 10

Solving
15 + -2p = 10

Solving for variable 'p'.

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

Add '-15' to each side of the equation.
15 + -15 + -2p = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -2p = 10 + -15
-2p = 10 + -15

Combine like terms: 10 + -15 = -5
-2p = -5

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5

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