4p+6=2(p+5)

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

Simplifying
4p + 6 = 2(p + 5)

Reorder the terms:
6 + 4p = 2(p + 5)

Reorder the terms:
6 + 4p = 2(5 + p)
6 + 4p = (5 * 2 + p * 2)
6 + 4p = (10 + 2p)

Solving
6 + 4p = 10 + 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.
6 + 4p + -2p = 10 + 2p + -2p

Combine like terms: 4p + -2p = 2p
6 + 2p = 10 + 2p + -2p

Combine like terms: 2p + -2p = 0
6 + 2p = 10 + 0
6 + 2p = 10

Add '-6' to each side of the equation.
6 + -6 + 2p = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2p = 10 + -6
2p = 10 + -6

Combine like terms: 10 + -6 = 4
2p = 4

Divide each side by '2'.
p = 2

Simplifying
p = 2