2p+6=3p-12

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Solution for 2p+6=3p-12 equation:


Simplifying
2p + 6 = 3p + -12

Reorder the terms:
6 + 2p = 3p + -12

Reorder the terms:
6 + 2p = -12 + 3p

Solving
6 + 2p = -12 + 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.
6 + 2p + -3p = -12 + 3p + -3p

Combine like terms: 2p + -3p = -1p
6 + -1p = -12 + 3p + -3p

Combine like terms: 3p + -3p = 0
6 + -1p = -12 + 0
6 + -1p = -12

Add '-6' to each side of the equation.
6 + -6 + -1p = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = -12 + -6
-1p = -12 + -6

Combine like terms: -12 + -6 = -18
-1p = -18

Divide each side by '-1'.
p = 18

Simplifying
p = 18

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