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

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

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

Reorder the terms:
6(1 + 5p) = 3(3p + -2)
(1 * 6 + 5p * 6) = 3(3p + -2)
(6 + 30p) = 3(3p + -2)

Reorder the terms:
6 + 30p = 3(-2 + 3p)
6 + 30p = (-2 * 3 + 3p * 3)
6 + 30p = (-6 + 9p)

Solving
6 + 30p = -6 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
6 + 30p + -9p = -6 + 9p + -9p

Combine like terms: 30p + -9p = 21p
6 + 21p = -6 + 9p + -9p

Combine like terms: 9p + -9p = 0
6 + 21p = -6 + 0
6 + 21p = -6

Add '-6' to each side of the equation.
6 + -6 + 21p = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 21p = -6 + -6
21p = -6 + -6

Combine like terms: -6 + -6 = -12
21p = -12

Divide each side by '21'.
p = -0.5714285714

Simplifying
p = -0.5714285714