3(p+1)+2(p-1)=51

Solution for 3(p+1)+2(p-1)=51 equation:

Simplifying
3(p + 1) + 2(p + -1) = 51

Reorder the terms:
3(1 + p) + 2(p + -1) = 51
(1 * 3 + p * 3) + 2(p + -1) = 51
(3 + 3p) + 2(p + -1) = 51

Reorder the terms:
3 + 3p + 2(-1 + p) = 51
3 + 3p + (-1 * 2 + p * 2) = 51
3 + 3p + (-2 + 2p) = 51

Reorder the terms:
3 + -2 + 3p + 2p = 51

Combine like terms: 3 + -2 = 1
1 + 3p + 2p = 51

Combine like terms: 3p + 2p = 5p
1 + 5p = 51

Solving
1 + 5p = 51

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1 + 5p = 51 + -1

Combine like terms: 1 + -1 = 0
0 + 5p = 51 + -1
5p = 51 + -1

Combine like terms: 51 + -1 = 50
5p = 50

Divide each side by '5'.
p = 10

Simplifying
p = 10