1.2(p-6)+7.92=.8p+.96

Solution for 1.2(p-6)+7.92=.8p+.96 equation:

Simplifying
1.2(p + -6) + 7.92 = 0.8p + 0.96

Reorder the terms:
1.2(-6 + p) + 7.92 = 0.8p + 0.96
(-6 * 1.2 + p * 1.2) + 7.92 = 0.8p + 0.96
(-7.2 + 1.2p) + 7.92 = 0.8p + 0.96

Reorder the terms:
-7.2 + 7.92 + 1.2p = 0.8p + 0.96

Combine like terms: -7.2 + 7.92 = 0.72
0.72 + 1.2p = 0.8p + 0.96

Reorder the terms:
0.72 + 1.2p = 0.96 + 0.8p

Solving
0.72 + 1.2p = 0.96 + 0.8p

Solving for variable 'p'.

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

Add '-0.8p' to each side of the equation.
0.72 + 1.2p + -0.8p = 0.96 + 0.8p + -0.8p

Combine like terms: 1.2p + -0.8p = 0.4p
0.72 + 0.4p = 0.96 + 0.8p + -0.8p

Combine like terms: 0.8p + -0.8p = 0.0
0.72 + 0.4p = 0.96 + 0.0
0.72 + 0.4p = 0.96

Add '-0.72' to each side of the equation.
0.72 + -0.72 + 0.4p = 0.96 + -0.72

Combine like terms: 0.72 + -0.72 = 0.00
0.00 + 0.4p = 0.96 + -0.72
0.4p = 0.96 + -0.72

Combine like terms: 0.96 + -0.72 = 0.24
0.4p = 0.24

Divide each side by '0.4'.
p = 0.6

Simplifying
p = 0.6