2p+6=3p+13

Solution for 2p+6=3p+13 equation:

Simplifying
2p + 6 = 3p + 13

Reorder the terms:
6 + 2p = 3p + 13

Reorder the terms:
6 + 2p = 13 + 3p

Solving
6 + 2p = 13 + 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 = 13 + 3p + -3p

Combine like terms: 2p + -3p = -1p
6 + -1p = 13 + 3p + -3p

Combine like terms: 3p + -3p = 0
6 + -1p = 13 + 0
6 + -1p = 13

Add '-6' to each side of the equation.
6 + -6 + -1p = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 13 + -6
-1p = 13 + -6

Combine like terms: 13 + -6 = 7
-1p = 7

Divide each side by '-1'.
p = -7

Simplifying
p = -7