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

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

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

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

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

Remove parenthesis around (1 + p)
-6 + 2p = 1 + p

Solving
-6 + 2p = 1 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
-6 + 2p + -1p = 1 + p + -1p

Combine like terms: 2p + -1p = 1p
-6 + 1p = 1 + p + -1p

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

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

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

Combine like terms: 1 + 6 = 7
1p = 7

Divide each side by '1'.
p = 7

Simplifying
p = 7