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

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

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

Reorder the terms:
-3(2 + 5p) + -2(4 + -14p) = 3(5 + 4p)
(2 * -3 + 5p * -3) + -2(4 + -14p) = 3(5 + 4p)
(-6 + -15p) + -2(4 + -14p) = 3(5 + 4p)
-6 + -15p + (4 * -2 + -14p * -2) = 3(5 + 4p)
-6 + -15p + (-8 + 28p) = 3(5 + 4p)

Reorder the terms:
-6 + -8 + -15p + 28p = 3(5 + 4p)

Combine like terms: -6 + -8 = -14
-14 + -15p + 28p = 3(5 + 4p)

Combine like terms: -15p + 28p = 13p
-14 + 13p = 3(5 + 4p)
-14 + 13p = (5 * 3 + 4p * 3)
-14 + 13p = (15 + 12p)

Solving
-14 + 13p = 15 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-14 + 13p + -12p = 15 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-14 + 1p = 15 + 12p + -12p

Combine like terms: 12p + -12p = 0
-14 + 1p = 15 + 0
-14 + 1p = 15

Add '14' to each side of the equation.
-14 + 14 + 1p = 15 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 15 + 14
1p = 15 + 14

Combine like terms: 15 + 14 = 29
1p = 29

Divide each side by '1'.
p = 29

Simplifying
p = 29