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

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

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

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

Reorder the terms:
6 + -2p = -5p + 2(8 + p)
6 + -2p = -5p + (8 * 2 + p * 2)
6 + -2p = -5p + (16 + 2p)

Reorder the terms:
6 + -2p = 16 + -5p + 2p

Combine like terms: -5p + 2p = -3p
6 + -2p = 16 + -3p

Solving
6 + -2p = 16 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
6 + -2p + 3p = 16 + -3p + 3p

Combine like terms: -2p + 3p = 1p
6 + 1p = 16 + -3p + 3p

Combine like terms: -3p + 3p = 0
6 + 1p = 16 + 0
6 + 1p = 16

Add '-6' to each side of the equation.
6 + -6 + 1p = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 16 + -6
1p = 16 + -6

Combine like terms: 16 + -6 = 10
1p = 10

Divide each side by '1'.
p = 10

Simplifying
p = 10