3(2p-1)=2(p+1)+3

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

Simplifying
3(2p + -1) = 2(p + 1) + 3

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

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

Reorder the terms:
-3 + 6p = 2 + 3 + 2p

Combine like terms: 2 + 3 = 5
-3 + 6p = 5 + 2p

Solving
-3 + 6p = 5 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-3 + 6p + -2p = 5 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-3 + 4p = 5 + 2p + -2p

Combine like terms: 2p + -2p = 0
-3 + 4p = 5 + 0
-3 + 4p = 5

Add '3' to each side of the equation.
-3 + 3 + 4p = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 4p = 5 + 3
4p = 5 + 3

Combine like terms: 5 + 3 = 8
4p = 8

Divide each side by '4'.
p = 2

Simplifying
p = 2