0.5(p-12)=0.3(p+4)

Solution for 0.5(p-12)=0.3(p+4) equation:

Simplifying
0.5(p + -12) = 0.3(p + 4)

Reorder the terms:
0.5(-12 + p) = 0.3(p + 4)
(-12 * 0.5 + p * 0.5) = 0.3(p + 4)
(-6 + 0.5p) = 0.3(p + 4)

Reorder the terms:
-6 + 0.5p = 0.3(4 + p)
-6 + 0.5p = (4 * 0.3 + p * 0.3)
-6 + 0.5p = (1.2 + 0.3p)

Solving
-6 + 0.5p = 1.2 + 0.3p

Solving for variable 'p'.

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

Add '-0.3p' to each side of the equation.
-6 + 0.5p + -0.3p = 1.2 + 0.3p + -0.3p

Combine like terms: 0.5p + -0.3p = 0.2p
-6 + 0.2p = 1.2 + 0.3p + -0.3p

Combine like terms: 0.3p + -0.3p = 0.0
-6 + 0.2p = 1.2 + 0.0
-6 + 0.2p = 1.2

Add '6' to each side of the equation.
-6 + 6 + 0.2p = 1.2 + 6

Combine like terms: -6 + 6 = 0
0 + 0.2p = 1.2 + 6
0.2p = 1.2 + 6

Combine like terms: 1.2 + 6 = 7.2
0.2p = 7.2

Divide each side by '0.2'.
p = 36

Simplifying
p = 36