5+2(p-3)=4(p+2)-8

Solution for 5+2(p-3)=4(p+2)-8 equation:

Simplifying
5 + 2(p + -3) = 4(p + 2) + -8

Reorder the terms:
5 + 2(-3 + p) = 4(p + 2) + -8
5 + (-3 * 2 + p * 2) = 4(p + 2) + -8
5 + (-6 + 2p) = 4(p + 2) + -8

Combine like terms: 5 + -6 = -1
-1 + 2p = 4(p + 2) + -8

Reorder the terms:
-1 + 2p = 4(2 + p) + -8
-1 + 2p = (2 * 4 + p * 4) + -8
-1 + 2p = (8 + 4p) + -8

Reorder the terms:
-1 + 2p = 8 + -8 + 4p

Combine like terms: 8 + -8 = 0
-1 + 2p = 0 + 4p
-1 + 2p = 4p

Solving
-1 + 2p = 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-1 + 2p + -4p = 4p + -4p

Combine like terms: 2p + -4p = -2p
-1 + -2p = 4p + -4p

Combine like terms: 4p + -4p = 0
-1 + -2p = 0

Add '1' to each side of the equation.
-1 + 1 + -2p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2p = 0 + 1
-2p = 0 + 1

Combine like terms: 0 + 1 = 1
-2p = 1

Divide each side by '-2'.
p = -0.5

Simplifying
p = -0.5