3(p+2)-2(p-1)=7

Solution for 3(p+2)-2(p-1)=7 equation:

Simplifying
3(p + 2) + -2(p + -1) = 7

Reorder the terms:
3(2 + p) + -2(p + -1) = 7
(2 * 3 + p * 3) + -2(p + -1) = 7
(6 + 3p) + -2(p + -1) = 7

Reorder the terms:
6 + 3p + -2(-1 + p) = 7
6 + 3p + (-1 * -2 + p * -2) = 7
6 + 3p + (2 + -2p) = 7

Reorder the terms:
6 + 2 + 3p + -2p = 7

Combine like terms: 6 + 2 = 8
8 + 3p + -2p = 7

Combine like terms: 3p + -2p = 1p
8 + 1p = 7

Solving
8 + 1p = 7

Solving for variable 'p'.

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

Add '-8' to each side of the equation.
8 + -8 + 1p = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 1p = 7 + -8
1p = 7 + -8

Combine like terms: 7 + -8 = -1
1p = -1

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

Simplifying
p = -1