5(p-9)=2p+12

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Solution for 5(p-9)=2p+12 equation:


Simplifying
5(p + -9) = 2p + 12

Reorder the terms:
5(-9 + p) = 2p + 12
(-9 * 5 + p * 5) = 2p + 12
(-45 + 5p) = 2p + 12

Reorder the terms:
-45 + 5p = 12 + 2p

Solving
-45 + 5p = 12 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-45 + 5p + -2p = 12 + 2p + -2p

Combine like terms: 5p + -2p = 3p
-45 + 3p = 12 + 2p + -2p

Combine like terms: 2p + -2p = 0
-45 + 3p = 12 + 0
-45 + 3p = 12

Add '45' to each side of the equation.
-45 + 45 + 3p = 12 + 45

Combine like terms: -45 + 45 = 0
0 + 3p = 12 + 45
3p = 12 + 45

Combine like terms: 12 + 45 = 57
3p = 57

Divide each side by '3'.
p = 19

Simplifying
p = 19

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