2(3p-3)=5(p+4)

Solution for 2(3p-3)=5(p+4) equation:

Simplifying
2(3p + -3) = 5(p + 4)

Reorder the terms:
2(-3 + 3p) = 5(p + 4)
(-3 * 2 + 3p * 2) = 5(p + 4)
(-6 + 6p) = 5(p + 4)

Reorder the terms:
-6 + 6p = 5(4 + p)
-6 + 6p = (4 * 5 + p * 5)
-6 + 6p = (20 + 5p)

Solving
-6 + 6p = 20 + 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.
-6 + 6p + -5p = 20 + 5p + -5p

Combine like terms: 6p + -5p = 1p
-6 + 1p = 20 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 1p = 20 + 0
-6 + 1p = 20

Add '6' to each side of the equation.
-6 + 6 + 1p = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 1p = 20 + 6
1p = 20 + 6

Combine like terms: 20 + 6 = 26
1p = 26

Divide each side by '1'.
p = 26

Simplifying
p = 26