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

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

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

Reorder the terms:
5(2 + p) = 2(3 + -1p)
(2 * 5 + p * 5) = 2(3 + -1p)
(10 + 5p) = 2(3 + -1p)
10 + 5p = (3 * 2 + -1p * 2)
10 + 5p = (6 + -2p)

Solving
10 + 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.
10 + 5p + 2p = 6 + -2p + 2p

Combine like terms: 5p + 2p = 7p
10 + 7p = 6 + -2p + 2p

Combine like terms: -2p + 2p = 0
10 + 7p = 6 + 0
10 + 7p = 6

Add '-10' to each side of the equation.
10 + -10 + 7p = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 7p = 6 + -10
7p = 6 + -10

Combine like terms: 6 + -10 = -4
7p = -4

Divide each side by '7'.
p = -0.5714285714

Simplifying
p = -0.5714285714