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

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

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

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

Reorder the terms:
2 + -6 + -6 + -12p + 28p = 3(2 + 5p)

Combine like terms: 2 + -6 = -4
-4 + -6 + -12p + 28p = 3(2 + 5p)

Combine like terms: -4 + -6 = -10
-10 + -12p + 28p = 3(2 + 5p)

Combine like terms: -12p + 28p = 16p
-10 + 16p = 3(2 + 5p)
-10 + 16p = (2 * 3 + 5p * 3)
-10 + 16p = (6 + 15p)

Solving
-10 + 16p = 6 + 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.
-10 + 16p + -15p = 6 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-10 + 1p = 6 + 15p + -15p

Combine like terms: 15p + -15p = 0
-10 + 1p = 6 + 0
-10 + 1p = 6

Add '10' to each side of the equation.
-10 + 10 + 1p = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 1p = 6 + 10
1p = 6 + 10

Combine like terms: 6 + 10 = 16
1p = 16

Divide each side by '1'.
p = 16

Simplifying
p = 16