5.2(4p+6)-2.3(3p-5)=

Solution for 5.2(4p+6)-2.3(3p-5)= equation:

Simplifying
5.2(4p + 6) + -2.3(3p + -5) = 0

Reorder the terms:
5.2(6 + 4p) + -2.3(3p + -5) = 0
(6 * 5.2 + 4p * 5.2) + -2.3(3p + -5) = 0
(31.2 + 20.8p) + -2.3(3p + -5) = 0

Reorder the terms:
31.2 + 20.8p + -2.3(-5 + 3p) = 0
31.2 + 20.8p + (-5 * -2.3 + 3p * -2.3) = 0
31.2 + 20.8p + (11.5 + -6.9p) = 0

Reorder the terms:
31.2 + 11.5 + 20.8p + -6.9p = 0

Combine like terms: 31.2 + 11.5 = 42.7
42.7 + 20.8p + -6.9p = 0

Combine like terms: 20.8p + -6.9p = 13.9p
42.7 + 13.9p = 0

Solving
42.7 + 13.9p = 0

Solving for variable 'p'.

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

Add '-42.7' to each side of the equation.
42.7 + -42.7 + 13.9p = 0 + -42.7

Combine like terms: 42.7 + -42.7 = 0.0
0.0 + 13.9p = 0 + -42.7
13.9p = 0 + -42.7

Combine like terms: 0 + -42.7 = -42.7
13.9p = -42.7

Divide each side by '13.9'.
p = -3.071942446

Simplifying
p = -3.071942446