2p-1.5(p-15)=82

Solution for 2p-1.5(p-15)=82 equation:

Simplifying
2p + -1.5(p + -15) = 82

Reorder the terms:
2p + -1.5(-15 + p) = 82
2p + (-15 * -1.5 + p * -1.5) = 82
2p + (22.5 + -1.5p) = 82

Reorder the terms:
22.5 + 2p + -1.5p = 82

Combine like terms: 2p + -1.5p = 0.5p
22.5 + 0.5p = 82

Solving
22.5 + 0.5p = 82

Solving for variable 'p'.

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

Add '-22.5' to each side of the equation.
22.5 + -22.5 + 0.5p = 82 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + 0.5p = 82 + -22.5
0.5p = 82 + -22.5

Combine like terms: 82 + -22.5 = 59.5
0.5p = 59.5

Divide each side by '0.5'.
p = 119

Simplifying
p = 119