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

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


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

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

Reorder the terms:
-4 + 2p = 3(3 + p)
-4 + 2p = (3 * 3 + p * 3)
-4 + 2p = (9 + 3p)

Solving
-4 + 2p = 9 + 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.
-4 + 2p + -3p = 9 + 3p + -3p

Combine like terms: 2p + -3p = -1p
-4 + -1p = 9 + 3p + -3p

Combine like terms: 3p + -3p = 0
-4 + -1p = 9 + 0
-4 + -1p = 9

Add '4' to each side of the equation.
-4 + 4 + -1p = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 9 + 4
-1p = 9 + 4

Combine like terms: 9 + 4 = 13
-1p = 13

Divide each side by '-1'.
p = -13

Simplifying
p = -13

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