5.4p+14.6-10.1p=12.8-3.5p-0.6

Solution for 5.4p+14.6-10.1p=12.8-3.5p-0.6 equation:

Simplifying
5.4p + 14.6 + -10.1p = 12.8 + -3.5p + -0.6

Reorder the terms:
14.6 + 5.4p + -10.1p = 12.8 + -3.5p + -0.6

Combine like terms: 5.4p + -10.1p = -4.7p
14.6 + -4.7p = 12.8 + -3.5p + -0.6

Reorder the terms:
14.6 + -4.7p = 12.8 + -0.6 + -3.5p

Combine like terms: 12.8 + -0.6 = 12.2
14.6 + -4.7p = 12.2 + -3.5p

Solving
14.6 + -4.7p = 12.2 + -3.5p

Solving for variable 'p'.

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

Add '3.5p' to each side of the equation.
14.6 + -4.7p + 3.5p = 12.2 + -3.5p + 3.5p

Combine like terms: -4.7p + 3.5p = -1.2p
14.6 + -1.2p = 12.2 + -3.5p + 3.5p

Combine like terms: -3.5p + 3.5p = 0.0
14.6 + -1.2p = 12.2 + 0.0
14.6 + -1.2p = 12.2

Add '-14.6' to each side of the equation.
14.6 + -14.6 + -1.2p = 12.2 + -14.6

Combine like terms: 14.6 + -14.6 = 0.0
0.0 + -1.2p = 12.2 + -14.6
-1.2p = 12.2 + -14.6

Combine like terms: 12.2 + -14.6 = -2.4
-1.2p = -2.4

Divide each side by '-1.2'.
p = 2

Simplifying
p = 2