2p-5(p+7)=10

Solution for 2p-5(p+7)=10 equation:

Simplifying
2p + -5(p + 7) = 10

Reorder the terms:
2p + -5(7 + p) = 10
2p + (7 * -5 + p * -5) = 10
2p + (-35 + -5p) = 10

Reorder the terms:
-35 + 2p + -5p = 10

Combine like terms: 2p + -5p = -3p
-35 + -3p = 10

Solving
-35 + -3p = 10

Solving for variable 'p'.

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

Add '35' to each side of the equation.
-35 + 35 + -3p = 10 + 35

Combine like terms: -35 + 35 = 0
0 + -3p = 10 + 35
-3p = 10 + 35

Combine like terms: 10 + 35 = 45
-3p = 45

Divide each side by '-3'.
p = -15

Simplifying
p = -15