2p+6=5p-6

Solution for 2p+6=5p-6 equation:

Simplifying
2p + 6 = 5p + -6

Reorder the terms:
6 + 2p = 5p + -6

Reorder the terms:
6 + 2p = -6 + 5p

Solving
6 + 2p = -6 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + 2p + -5p = -6 + 5p + -5p

Combine like terms: 2p + -5p = -3p
6 + -3p = -6 + 5p + -5p

Combine like terms: 5p + -5p = 0
6 + -3p = -6 + 0
6 + -3p = -6

Add '-6' to each side of the equation.
6 + -6 + -3p = -6 + -6

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

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

Divide each side by '-3'.
p = 4

Simplifying
p = 4