6(7-2p)=(5p+1)

Solution for 6(7-2p)=(5p+1) equation:

Simplifying
6(7 + -2p) = (5p + 1)
(7 * 6 + -2p * 6) = (5p + 1)
(42 + -12p) = (5p + 1)

Reorder the terms:
42 + -12p = (1 + 5p)

Remove parenthesis around (1 + 5p)
42 + -12p = 1 + 5p

Solving
42 + -12p = 1 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
42 + -12p + -5p = 1 + 5p + -5p

Combine like terms: -12p + -5p = -17p
42 + -17p = 1 + 5p + -5p

Combine like terms: 5p + -5p = 0
42 + -17p = 1 + 0
42 + -17p = 1

Add '-42' to each side of the equation.
42 + -42 + -17p = 1 + -42

Combine like terms: 42 + -42 = 0
0 + -17p = 1 + -42
-17p = 1 + -42

Combine like terms: 1 + -42 = -41
-17p = -41

Divide each side by '-17'.
p = 2.411764706

Simplifying
p = 2.411764706