0.5p+0.2(10-p)=0

Solution for 0.5p+0.2(10-p)=0 equation:

Simplifying
0.5p + 0.2(10 + -1p) = 0
0.5p + (10 * 0.2 + -1p * 0.2) = 0
0.5p + (2 + -0.2p) = 0

Reorder the terms:
2 + 0.5p + -0.2p = 0

Combine like terms: 0.5p + -0.2p = 0.3p
2 + 0.3p = 0

Solving
2 + 0.3p = 0

Solving for variable 'p'.

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

Add '-2' to each side of the equation.
2 + -2 + 0.3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.3p = 0 + -2
0.3p = 0 + -2

Combine like terms: 0 + -2 = -2
0.3p = -2

Divide each side by '0.3'.
p = -6.666666667

Simplifying
p = -6.666666667