3(p-1)+2(p+3)=10

Solution for 3(p-1)+2(p+3)=10 equation:

Simplifying
3(p + -1) + 2(p + 3) = 10

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

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

Reorder the terms:
-3 + 6 + 3p + 2p = 10

Combine like terms: -3 + 6 = 3
3 + 3p + 2p = 10

Combine like terms: 3p + 2p = 5p
3 + 5p = 10

Solving
3 + 5p = 10

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + 5p = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 10 + -3
5p = 10 + -3

Combine like terms: 10 + -3 = 7
5p = 7

Divide each side by '5'.
p = 1.4

Simplifying
p = 1.4