2(5p+3)-4(3p-8)=

Solution for 2(5p+3)-4(3p-8)= equation:

Simplifying
2(5p + 3) + -4(3p + -8) = 0

Reorder the terms:
2(3 + 5p) + -4(3p + -8) = 0
(3 * 2 + 5p * 2) + -4(3p + -8) = 0
(6 + 10p) + -4(3p + -8) = 0

Reorder the terms:
6 + 10p + -4(-8 + 3p) = 0
6 + 10p + (-8 * -4 + 3p * -4) = 0
6 + 10p + (32 + -12p) = 0

Reorder the terms:
6 + 32 + 10p + -12p = 0

Combine like terms: 6 + 32 = 38
38 + 10p + -12p = 0

Combine like terms: 10p + -12p = -2p
38 + -2p = 0

Solving
38 + -2p = 0

Solving for variable 'p'.

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

Add '-38' to each side of the equation.
38 + -38 + -2p = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -2p = 0 + -38
-2p = 0 + -38

Combine like terms: 0 + -38 = -38
-2p = -38

Divide each side by '-2'.
p = 19

Simplifying
p = 19