3p+6=8p+1

Solution for 3p+6=8p+1 equation:

Simplifying
3p + 6 = 8p + 1

Reorder the terms:
6 + 3p = 8p + 1

Reorder the terms:
6 + 3p = 1 + 8p

Solving
6 + 3p = 1 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
6 + 3p + -8p = 1 + 8p + -8p

Combine like terms: 3p + -8p = -5p
6 + -5p = 1 + 8p + -8p

Combine like terms: 8p + -8p = 0
6 + -5p = 1 + 0
6 + -5p = 1

Add '-6' to each side of the equation.
6 + -6 + -5p = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5p = 1 + -6
-5p = 1 + -6

Combine like terms: 1 + -6 = -5
-5p = -5

Divide each side by '-5'.
p = 1

Simplifying
p = 1