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

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

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

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

Combine like terms: 15p + -6p = 9p
-6 + 9p = 3(-3p + 2)

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

Solving
-6 + 9p = 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 + 9p + 9p = 6 + -9p + 9p

Combine like terms: 9p + 9p = 18p
-6 + 18p = 6 + -9p + 9p

Combine like terms: -9p + 9p = 0
-6 + 18p = 6 + 0
-6 + 18p = 6

Add '6' to each side of the equation.
-6 + 6 + 18p = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 18p = 6 + 6
18p = 6 + 6

Combine like terms: 6 + 6 = 12
18p = 12

Divide each side by '18'.
p = 0.6666666667

Simplifying
p = 0.6666666667