.5(p+2)=2p

Solution for .5(p+2)=2p equation:

Simplifying
0.5(p + 2) = 2p

Reorder the terms:
0.5(2 + p) = 2p
(2 * 0.5 + p * 0.5) = 2p
(1 + 0.5p) = 2p

Solving
1 + 0.5p = 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.
1 + 0.5p + -2p = 2p + -2p

Combine like terms: 0.5p + -2p = -1.5p
1 + -1.5p = 2p + -2p

Combine like terms: 2p + -2p = 0
1 + -1.5p = 0

Add '-1' to each side of the equation.
1 + -1 + -1.5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5p = 0 + -1
-1.5p = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5p = -1

Divide each side by '-1.5'.
p = 0.6666666667

Simplifying
p = 0.6666666667