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

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

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

Reorder the terms:
5(-1 + 2p) = 2(p + 3)
(-1 * 5 + 2p * 5) = 2(p + 3)
(-5 + 10p) = 2(p + 3)

Reorder the terms:
-5 + 10p = 2(3 + p)
-5 + 10p = (3 * 2 + p * 2)
-5 + 10p = (6 + 2p)

Solving
-5 + 10p = 6 + 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.
-5 + 10p + -2p = 6 + 2p + -2p

Combine like terms: 10p + -2p = 8p
-5 + 8p = 6 + 2p + -2p

Combine like terms: 2p + -2p = 0
-5 + 8p = 6 + 0
-5 + 8p = 6

Add '5' to each side of the equation.
-5 + 5 + 8p = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 8p = 6 + 5
8p = 6 + 5

Combine like terms: 6 + 5 = 11
8p = 11

Divide each side by '8'.
p = 1.375

Simplifying
p = 1.375