5p+3=2p-6

Solution for 5p+3=2p-6 equation:

Simplifying
5p + 3 = 2p + -6

Reorder the terms:
3 + 5p = 2p + -6

Reorder the terms:
3 + 5p = -6 + 2p

Solving
3 + 5p = -6 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
3 + 5p + -2p = -6 + 2p + -2p

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

Combine like terms: 2p + -2p = 0
3 + 3p = -6 + 0
3 + 3p = -6

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

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

Combine like terms: -6 + -3 = -9
3p = -9

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

Simplifying
p = -3