6(2p-12)=10p+3

Solution for 6(2p-12)=10p+3 equation:

Simplifying
6(2p + -12) = 10p + 3

Reorder the terms:
6(-12 + 2p) = 10p + 3
(-12 * 6 + 2p * 6) = 10p + 3
(-72 + 12p) = 10p + 3

Reorder the terms:
-72 + 12p = 3 + 10p

Solving
-72 + 12p = 3 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-72 + 12p + -10p = 3 + 10p + -10p

Combine like terms: 12p + -10p = 2p
-72 + 2p = 3 + 10p + -10p

Combine like terms: 10p + -10p = 0
-72 + 2p = 3 + 0
-72 + 2p = 3

Add '72' to each side of the equation.
-72 + 72 + 2p = 3 + 72

Combine like terms: -72 + 72 = 0
0 + 2p = 3 + 72
2p = 3 + 72

Combine like terms: 3 + 72 = 75
2p = 75

Divide each side by '2'.
p = 37.5

Simplifying
p = 37.5