5p+6=3(3p-4)

Solution for 5p+6=3(3p-4) equation:

Simplifying
5p + 6 = 3(3p + -4)

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

Reorder the terms:
6 + 5p = 3(-4 + 3p)
6 + 5p = (-4 * 3 + 3p * 3)
6 + 5p = (-12 + 9p)

Solving
6 + 5p = -12 + 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 + 5p + -9p = -12 + 9p + -9p

Combine like terms: 5p + -9p = -4p
6 + -4p = -12 + 9p + -9p

Combine like terms: 9p + -9p = 0
6 + -4p = -12 + 0
6 + -4p = -12

Add '-6' to each side of the equation.
6 + -6 + -4p = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4p = -12 + -6
-4p = -12 + -6

Combine like terms: -12 + -6 = -18
-4p = -18

Divide each side by '-4'.
p = 4.5

Simplifying
p = 4.5