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

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

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

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

Reorder the terms:
-6 + 2p = 4(1 + 3p)
-6 + 2p = (1 * 4 + 3p * 4)
-6 + 2p = (4 + 12p)

Solving
-6 + 2p = 4 + 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.
-6 + 2p + -12p = 4 + 12p + -12p

Combine like terms: 2p + -12p = -10p
-6 + -10p = 4 + 12p + -12p

Combine like terms: 12p + -12p = 0
-6 + -10p = 4 + 0
-6 + -10p = 4

Add '6' to each side of the equation.
-6 + 6 + -10p = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -10p = 4 + 6
-10p = 4 + 6

Combine like terms: 4 + 6 = 10
-10p = 10

Divide each side by '-10'.
p = -1

Simplifying
p = -1