-3p-2(3-5p)=2(p-5)-46

Solution for -3p-2(3-5p)=2(p-5)-46 equation:

Simplifying
-3p + -2(3 + -5p) = 2(p + -5) + -46
-3p + (3 * -2 + -5p * -2) = 2(p + -5) + -46
-3p + (-6 + 10p) = 2(p + -5) + -46

Reorder the terms:
-6 + -3p + 10p = 2(p + -5) + -46

Combine like terms: -3p + 10p = 7p
-6 + 7p = 2(p + -5) + -46

Reorder the terms:
-6 + 7p = 2(-5 + p) + -46
-6 + 7p = (-5 * 2 + p * 2) + -46
-6 + 7p = (-10 + 2p) + -46

Reorder the terms:
-6 + 7p = -10 + -46 + 2p

Combine like terms: -10 + -46 = -56
-6 + 7p = -56 + 2p

Solving
-6 + 7p = -56 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-6 + 7p + -2p = -56 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-6 + 5p = -56 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 5p = -56 + 0
-6 + 5p = -56

Add '6' to each side of the equation.
-6 + 6 + 5p = -56 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = -56 + 6
5p = -56 + 6

Combine like terms: -56 + 6 = -50
5p = -50

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

Simplifying
p = -10