2(3P-4)-3(5-29)+18=19

Solution for 2(3P-4)-3(5-29)+18=19 equation:

Simplifying
2(3P + -4) + -3(5 + -29) + 18 = 19

Reorder the terms:
2(-4 + 3P) + -3(5 + -29) + 18 = 19
(-4 * 2 + 3P * 2) + -3(5 + -29) + 18 = 19
(-8 + 6P) + -3(5 + -29) + 18 = 19

Combine like terms: 5 + -29 = -24
-8 + 6P + -3(-24) + 18 = 19

Multiply -3 * -24
-8 + 6P + 72 + 18 = 19

Reorder the terms:
-8 + 72 + 18 + 6P = 19

Combine like terms: -8 + 72 = 64
64 + 18 + 6P = 19

Combine like terms: 64 + 18 = 82
82 + 6P = 19

Solving
82 + 6P = 19

Solving for variable 'P'.

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

Add '-82' to each side of the equation.
82 + -82 + 6P = 19 + -82

Combine like terms: 82 + -82 = 0
0 + 6P = 19 + -82
6P = 19 + -82

Combine like terms: 19 + -82 = -63
6P = -63

Divide each side by '6'.
P = -10.5

Simplifying
P = -10.5