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

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

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

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

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

Solving
-6 + 3p = 12 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-6 + 3p + -4p = 12 + 4p + -4p

Combine like terms: 3p + -4p = -1p
-6 + -1p = 12 + 4p + -4p

Combine like terms: 4p + -4p = 0
-6 + -1p = 12 + 0
-6 + -1p = 12

Add '6' to each side of the equation.
-6 + 6 + -1p = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -1p = 12 + 6
-1p = 12 + 6

Combine like terms: 12 + 6 = 18
-1p = 18

Divide each side by '-1'.
p = -18

Simplifying
p = -18