2(p-5)=3(p-3)-9

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Solution for 2(p-5)=3(p-3)-9 equation:


Simplifying
2(p + -5) = 3(p + -3) + -9

Reorder the terms:
2(-5 + p) = 3(p + -3) + -9
(-5 * 2 + p * 2) = 3(p + -3) + -9
(-10 + 2p) = 3(p + -3) + -9

Reorder the terms:
-10 + 2p = 3(-3 + p) + -9
-10 + 2p = (-3 * 3 + p * 3) + -9
-10 + 2p = (-9 + 3p) + -9

Reorder the terms:
-10 + 2p = -9 + -9 + 3p

Combine like terms: -9 + -9 = -18
-10 + 2p = -18 + 3p

Solving
-10 + 2p = -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 + 2p + -3p = -18 + 3p + -3p

Combine like terms: 2p + -3p = -1p
-10 + -1p = -18 + 3p + -3p

Combine like terms: 3p + -3p = 0
-10 + -1p = -18 + 0
-10 + -1p = -18

Add '10' to each side of the equation.
-10 + 10 + -1p = -18 + 10

Combine like terms: -10 + 10 = 0
0 + -1p = -18 + 10
-1p = -18 + 10

Combine like terms: -18 + 10 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8

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