3(p+2)+4p=6(3p-1)+5p

Solution for 3(p+2)+4p=6(3p-1)+5p equation:

Simplifying
3(p + 2) + 4p = 6(3p + -1) + 5p

Reorder the terms:
3(2 + p) + 4p = 6(3p + -1) + 5p
(2 * 3 + p * 3) + 4p = 6(3p + -1) + 5p
(6 + 3p) + 4p = 6(3p + -1) + 5p

Combine like terms: 3p + 4p = 7p
6 + 7p = 6(3p + -1) + 5p

Reorder the terms:
6 + 7p = 6(-1 + 3p) + 5p
6 + 7p = (-1 * 6 + 3p * 6) + 5p
6 + 7p = (-6 + 18p) + 5p

Combine like terms: 18p + 5p = 23p
6 + 7p = -6 + 23p

Solving
6 + 7p = -6 + 23p

Solving for variable 'p'.

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

Add '-23p' to each side of the equation.
6 + 7p + -23p = -6 + 23p + -23p

Combine like terms: 7p + -23p = -16p
6 + -16p = -6 + 23p + -23p

Combine like terms: 23p + -23p = 0
6 + -16p = -6 + 0
6 + -16p = -6

Add '-6' to each side of the equation.
6 + -6 + -16p = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -16p = -6 + -6
-16p = -6 + -6

Combine like terms: -6 + -6 = -12
-16p = -12

Divide each side by '-16'.
p = 0.75

Simplifying
p = 0.75