3(2)+5p+5(2p+5)=10

Solution for 3(2)+5p+5(2p+5)=10 equation:

Simplifying
3(2) + 5p + 5(2p + 5) = 10

Multiply 3 * 2
6 + 5p + 5(2p + 5) = 10

Reorder the terms:
6 + 5p + 5(5 + 2p) = 10
6 + 5p + (5 * 5 + 2p * 5) = 10
6 + 5p + (25 + 10p) = 10

Reorder the terms:
6 + 25 + 5p + 10p = 10

Combine like terms: 6 + 25 = 31
31 + 5p + 10p = 10

Combine like terms: 5p + 10p = 15p
31 + 15p = 10

Solving
31 + 15p = 10

Solving for variable 'p'.

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

Add '-31' to each side of the equation.
31 + -31 + 15p = 10 + -31

Combine like terms: 31 + -31 = 0
0 + 15p = 10 + -31
15p = 10 + -31

Combine like terms: 10 + -31 = -21
15p = -21

Divide each side by '15'.
p = -1.4

Simplifying
p = -1.4