2p+4(p+6)=3(1-5p)

Solution for 2p+4(p+6)=3(1-5p) equation:

Simplifying
2p + 4(p + 6) = 3(1 + -5p)

Reorder the terms:
2p + 4(6 + p) = 3(1 + -5p)
2p + (6 * 4 + p * 4) = 3(1 + -5p)
2p + (24 + 4p) = 3(1 + -5p)

Reorder the terms:
24 + 2p + 4p = 3(1 + -5p)

Combine like terms: 2p + 4p = 6p
24 + 6p = 3(1 + -5p)
24 + 6p = (1 * 3 + -5p * 3)
24 + 6p = (3 + -15p)

Solving
24 + 6p = 3 + -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.
24 + 6p + 15p = 3 + -15p + 15p

Combine like terms: 6p + 15p = 21p
24 + 21p = 3 + -15p + 15p

Combine like terms: -15p + 15p = 0
24 + 21p = 3 + 0
24 + 21p = 3

Add '-24' to each side of the equation.
24 + -24 + 21p = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 21p = 3 + -24
21p = 3 + -24

Combine like terms: 3 + -24 = -21
21p = -21

Divide each side by '21'.
p = -1

Simplifying
p = -1