10-2(p-11)=2(5-2p)

Solution for 10-2(p-11)=2(5-2p) equation:

Simplifying
10 + -2(p + -11) = 2(5 + -2p)

Reorder the terms:
10 + -2(-11 + p) = 2(5 + -2p)
10 + (-11 * -2 + p * -2) = 2(5 + -2p)
10 + (22 + -2p) = 2(5 + -2p)

Combine like terms: 10 + 22 = 32
32 + -2p = 2(5 + -2p)
32 + -2p = (5 * 2 + -2p * 2)
32 + -2p = (10 + -4p)

Solving
32 + -2p = 10 + -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.
32 + -2p + 4p = 10 + -4p + 4p

Combine like terms: -2p + 4p = 2p
32 + 2p = 10 + -4p + 4p

Combine like terms: -4p + 4p = 0
32 + 2p = 10 + 0
32 + 2p = 10

Add '-32' to each side of the equation.
32 + -32 + 2p = 10 + -32

Combine like terms: 32 + -32 = 0
0 + 2p = 10 + -32
2p = 10 + -32

Combine like terms: 10 + -32 = -22
2p = -22

Divide each side by '2'.
p = -11

Simplifying
p = -11