-3(4p+5)-2(5-14p)=3(6+5p)

Solution for -3(4p+5)-2(5-14p)=3(6+5p) equation:

Simplifying
-3(4p + 5) + -2(5 + -14p) = 3(6 + 5p)

Reorder the terms:
-3(5 + 4p) + -2(5 + -14p) = 3(6 + 5p)
(5 * -3 + 4p * -3) + -2(5 + -14p) = 3(6 + 5p)
(-15 + -12p) + -2(5 + -14p) = 3(6 + 5p)
-15 + -12p + (5 * -2 + -14p * -2) = 3(6 + 5p)
-15 + -12p + (-10 + 28p) = 3(6 + 5p)

Reorder the terms:
-15 + -10 + -12p + 28p = 3(6 + 5p)

Combine like terms: -15 + -10 = -25
-25 + -12p + 28p = 3(6 + 5p)

Combine like terms: -12p + 28p = 16p
-25 + 16p = 3(6 + 5p)
-25 + 16p = (6 * 3 + 5p * 3)
-25 + 16p = (18 + 15p)

Solving
-25 + 16p = 18 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-25 + 16p + -15p = 18 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-25 + 1p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 0
-25 + 1p = 18 + 0
-25 + 1p = 18

Add '25' to each side of the equation.
-25 + 25 + 1p = 18 + 25

Combine like terms: -25 + 25 = 0
0 + 1p = 18 + 25
1p = 18 + 25

Combine like terms: 18 + 25 = 43
1p = 43

Divide each side by '1'.
p = 43

Simplifying
p = 43