-1(p+5)=-3(2p-10)

Solution for -1(p+5)=-3(2p-10) equation:

Simplifying
-1(p + 5) = -3(2p + -10)

Reorder the terms:
-1(5 + p) = -3(2p + -10)
(5 * -1 + p * -1) = -3(2p + -10)
(-5 + -1p) = -3(2p + -10)

Reorder the terms:
-5 + -1p = -3(-10 + 2p)
-5 + -1p = (-10 * -3 + 2p * -3)
-5 + -1p = (30 + -6p)

Solving
-5 + -1p = 30 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
-5 + -1p + 6p = 30 + -6p + 6p

Combine like terms: -1p + 6p = 5p
-5 + 5p = 30 + -6p + 6p

Combine like terms: -6p + 6p = 0
-5 + 5p = 30 + 0
-5 + 5p = 30

Add '5' to each side of the equation.
-5 + 5 + 5p = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 5p = 30 + 5
5p = 30 + 5

Combine like terms: 30 + 5 = 35
5p = 35

Divide each side by '5'.
p = 7

Simplifying
p = 7