100-2(p+10)=3(p+10)

Solution for 100-2(p+10)=3(p+10) equation:

Simplifying
100 + -2(p + 10) = 3(p + 10)

Reorder the terms:
100 + -2(10 + p) = 3(p + 10)
100 + (10 * -2 + p * -2) = 3(p + 10)
100 + (-20 + -2p) = 3(p + 10)

Combine like terms: 100 + -20 = 80
80 + -2p = 3(p + 10)

Reorder the terms:
80 + -2p = 3(10 + p)
80 + -2p = (10 * 3 + p * 3)
80 + -2p = (30 + 3p)

Solving
80 + -2p = 30 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
80 + -2p + -3p = 30 + 3p + -3p

Combine like terms: -2p + -3p = -5p
80 + -5p = 30 + 3p + -3p

Combine like terms: 3p + -3p = 0
80 + -5p = 30 + 0
80 + -5p = 30

Add '-80' to each side of the equation.
80 + -80 + -5p = 30 + -80

Combine like terms: 80 + -80 = 0
0 + -5p = 30 + -80
-5p = 30 + -80

Combine like terms: 30 + -80 = -50
-5p = -50

Divide each side by '-5'.
p = 10

Simplifying
p = 10