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

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

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

Reorder the terms:
3(-2 + 7p) = 5(6 + 3p)
(-2 * 3 + 7p * 3) = 5(6 + 3p)
(-6 + 21p) = 5(6 + 3p)
-6 + 21p = (6 * 5 + 3p * 5)
-6 + 21p = (30 + 15p)

Solving
-6 + 21p = 30 + 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.
-6 + 21p + -15p = 30 + 15p + -15p

Combine like terms: 21p + -15p = 6p
-6 + 6p = 30 + 15p + -15p

Combine like terms: 15p + -15p = 0
-6 + 6p = 30 + 0
-6 + 6p = 30

Add '6' to each side of the equation.
-6 + 6 + 6p = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6p = 30 + 6
6p = 30 + 6

Combine like terms: 30 + 6 = 36
6p = 36

Divide each side by '6'.
p = 6

Simplifying
p = 6