.5(p+6)=3.5(3-p)

Solution for .5(p+6)=3.5(3-p) equation:

Simplifying
0.5(p + 6) = 3.5(3 + -1p)

Reorder the terms:
0.5(6 + p) = 3.5(3 + -1p)
(6 * 0.5 + p * 0.5) = 3.5(3 + -1p)
(3 + 0.5p) = 3.5(3 + -1p)
3 + 0.5p = (3 * 3.5 + -1p * 3.5)
3 + 0.5p = (10.5 + -3.5p)

Solving
3 + 0.5p = 10.5 + -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.
3 + 0.5p + 3.5p = 10.5 + -3.5p + 3.5p

Combine like terms: 0.5p + 3.5p = 4p
3 + 4p = 10.5 + -3.5p + 3.5p

Combine like terms: -3.5p + 3.5p = 0.0
3 + 4p = 10.5 + 0.0
3 + 4p = 10.5

Add '-3' to each side of the equation.
3 + -3 + 4p = 10.5 + -3

Combine like terms: 3 + -3 = 0
0 + 4p = 10.5 + -3
4p = 10.5 + -3

Combine like terms: 10.5 + -3 = 7.5
4p = 7.5

Divide each side by '4'.
p = 1.875

Simplifying
p = 1.875