6(7-2p)=3(5p+1)

Solution for 6(7-2p)=3(5p+1) equation:

Simplifying
6(7 + -2p) = 3(5p + 1)
(7 * 6 + -2p * 6) = 3(5p + 1)
(42 + -12p) = 3(5p + 1)

Reorder the terms:
42 + -12p = 3(1 + 5p)
42 + -12p = (1 * 3 + 5p * 3)
42 + -12p = (3 + 15p)

Solving
42 + -12p = 3 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
42 + -12p + -15p = 3 + 15p + -15p

Combine like terms: -12p + -15p = -27p
42 + -27p = 3 + 15p + -15p

Combine like terms: 15p + -15p = 0
42 + -27p = 3 + 0
42 + -27p = 3

Add '-42' to each side of the equation.
42 + -42 + -27p = 3 + -42

Combine like terms: 42 + -42 = 0
0 + -27p = 3 + -42
-27p = 3 + -42

Combine like terms: 3 + -42 = -39
-27p = -39

Divide each side by '-27'.
p = 1.444444444

Simplifying
p = 1.444444444