6(2p-4)+2(p+3)=10

Solution for 6(2p-4)+2(p+3)=10 equation:

Simplifying
6(2p + -4) + 2(p + 3) = 10

Reorder the terms:
6(-4 + 2p) + 2(p + 3) = 10
(-4 * 6 + 2p * 6) + 2(p + 3) = 10
(-24 + 12p) + 2(p + 3) = 10

Reorder the terms:
-24 + 12p + 2(3 + p) = 10
-24 + 12p + (3 * 2 + p * 2) = 10
-24 + 12p + (6 + 2p) = 10

Reorder the terms:
-24 + 6 + 12p + 2p = 10

Combine like terms: -24 + 6 = -18
-18 + 12p + 2p = 10

Combine like terms: 12p + 2p = 14p
-18 + 14p = 10

Solving
-18 + 14p = 10

Solving for variable 'p'.

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

Add '18' to each side of the equation.
-18 + 18 + 14p = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 14p = 10 + 18
14p = 10 + 18

Combine like terms: 10 + 18 = 28
14p = 28

Divide each side by '14'.
p = 2

Simplifying
p = 2