45-(p+3)=2p

Solution for 45-(p+3)=2p equation:

Simplifying
45 + -1(p + 3) = 2p

Reorder the terms:
45 + -1(3 + p) = 2p
45 + (3 * -1 + p * -1) = 2p
45 + (-3 + -1p) = 2p

Combine like terms: 45 + -3 = 42
42 + -1p = 2p

Solving
42 + -1p = 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.
42 + -1p + -2p = 2p + -2p

Combine like terms: -1p + -2p = -3p
42 + -3p = 2p + -2p

Combine like terms: 2p + -2p = 0
42 + -3p = 0

Add '-42' to each side of the equation.
42 + -42 + -3p = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -3p = 0 + -42
-3p = 0 + -42

Combine like terms: 0 + -42 = -42
-3p = -42

Divide each side by '-3'.
p = 14

Simplifying
p = 14