2(p-4)=3(p+1)

Solution for 2(p-4)=3(p+1) equation:

Simplifying
2(p + -4) = 3(p + 1)

Reorder the terms:
2(-4 + p) = 3(p + 1)
(-4 * 2 + p * 2) = 3(p + 1)
(-8 + 2p) = 3(p + 1)

Reorder the terms:
-8 + 2p = 3(1 + p)
-8 + 2p = (1 * 3 + p * 3)
-8 + 2p = (3 + 3p)

Solving
-8 + 2p = 3 + 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.
-8 + 2p + -3p = 3 + 3p + -3p

Combine like terms: 2p + -3p = -1p
-8 + -1p = 3 + 3p + -3p

Combine like terms: 3p + -3p = 0
-8 + -1p = 3 + 0
-8 + -1p = 3

Add '8' to each side of the equation.
-8 + 8 + -1p = 3 + 8

Combine like terms: -8 + 8 = 0
0 + -1p = 3 + 8
-1p = 3 + 8

Combine like terms: 3 + 8 = 11
-1p = 11

Divide each side by '-1'.
p = -11

Simplifying
p = -11