2p-3(3-2p)=4(p-5)-25

Solution for 2p-3(3-2p)=4(p-5)-25 equation:

Simplifying
2p + -3(3 + -2p) = 4(p + -5) + -25
2p + (3 * -3 + -2p * -3) = 4(p + -5) + -25
2p + (-9 + 6p) = 4(p + -5) + -25

Reorder the terms:
-9 + 2p + 6p = 4(p + -5) + -25

Combine like terms: 2p + 6p = 8p
-9 + 8p = 4(p + -5) + -25

Reorder the terms:
-9 + 8p = 4(-5 + p) + -25
-9 + 8p = (-5 * 4 + p * 4) + -25
-9 + 8p = (-20 + 4p) + -25

Reorder the terms:
-9 + 8p = -20 + -25 + 4p

Combine like terms: -20 + -25 = -45
-9 + 8p = -45 + 4p

Solving
-9 + 8p = -45 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-9 + 8p + -4p = -45 + 4p + -4p

Combine like terms: 8p + -4p = 4p
-9 + 4p = -45 + 4p + -4p

Combine like terms: 4p + -4p = 0
-9 + 4p = -45 + 0
-9 + 4p = -45

Add '9' to each side of the equation.
-9 + 9 + 4p = -45 + 9

Combine like terms: -9 + 9 = 0
0 + 4p = -45 + 9
4p = -45 + 9

Combine like terms: -45 + 9 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9