5-2(3P-4)=4(P-50)-37

Solution for 5-2(3P-4)=4(P-50)-37 equation:

Simplifying
5 + -2(3P + -4) = 4(P + -50) + -37

Reorder the terms:
5 + -2(-4 + 3P) = 4(P + -50) + -37
5 + (-4 * -2 + 3P * -2) = 4(P + -50) + -37
5 + (8 + -6P) = 4(P + -50) + -37

Combine like terms: 5 + 8 = 13
13 + -6P = 4(P + -50) + -37

Reorder the terms:
13 + -6P = 4(-50 + P) + -37
13 + -6P = (-50 * 4 + P * 4) + -37
13 + -6P = (-200 + 4P) + -37

Reorder the terms:
13 + -6P = -200 + -37 + 4P

Combine like terms: -200 + -37 = -237
13 + -6P = -237 + 4P

Solving
13 + -6P = -237 + 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.
13 + -6P + -4P = -237 + 4P + -4P

Combine like terms: -6P + -4P = -10P
13 + -10P = -237 + 4P + -4P

Combine like terms: 4P + -4P = 0
13 + -10P = -237 + 0
13 + -10P = -237

Add '-13' to each side of the equation.
13 + -13 + -10P = -237 + -13

Combine like terms: 13 + -13 = 0
0 + -10P = -237 + -13
-10P = -237 + -13

Combine like terms: -237 + -13 = -250
-10P = -250

Divide each side by '-10'.
P = 25

Simplifying
P = 25