0.5(p+3)=3(0.1+0.6p)

Solution for 0.5(p+3)=3(0.1+0.6p) equation:

Simplifying
0.5(p + 3) = 3(0.1 + 0.6p)

Reorder the terms:
0.5(3 + p) = 3(0.1 + 0.6p)
(3 * 0.5 + p * 0.5) = 3(0.1 + 0.6p)
(1.5 + 0.5p) = 3(0.1 + 0.6p)
1.5 + 0.5p = (0.1 * 3 + 0.6p * 3)
1.5 + 0.5p = (0.3 + 1.8p)

Solving
1.5 + 0.5p = 0.3 + 1.8p

Solving for variable 'p'.

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

Add '-1.8p' to each side of the equation.
1.5 + 0.5p + -1.8p = 0.3 + 1.8p + -1.8p

Combine like terms: 0.5p + -1.8p = -1.3p
1.5 + -1.3p = 0.3 + 1.8p + -1.8p

Combine like terms: 1.8p + -1.8p = 0.0
1.5 + -1.3p = 0.3 + 0.0
1.5 + -1.3p = 0.3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1.3p = 0.3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.3p = 0.3 + -1.5
-1.3p = 0.3 + -1.5

Combine like terms: 0.3 + -1.5 = -1.2
-1.3p = -1.2

Divide each side by '-1.3'.
p = 0.9230769231

Simplifying
p = 0.9230769231