2p-6(6p-1)=6(1+2p)-5

Solution for 2p-6(6p-1)=6(1+2p)-5 equation:

Simplifying
2p + -6(6p + -1) = 6(1 + 2p) + -5

Reorder the terms:
2p + -6(-1 + 6p) = 6(1 + 2p) + -5
2p + (-1 * -6 + 6p * -6) = 6(1 + 2p) + -5
2p + (6 + -36p) = 6(1 + 2p) + -5

Reorder the terms:
6 + 2p + -36p = 6(1 + 2p) + -5

Combine like terms: 2p + -36p = -34p
6 + -34p = 6(1 + 2p) + -5
6 + -34p = (1 * 6 + 2p * 6) + -5
6 + -34p = (6 + 12p) + -5

Reorder the terms:
6 + -34p = 6 + -5 + 12p

Combine like terms: 6 + -5 = 1
6 + -34p = 1 + 12p

Solving
6 + -34p = 1 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
6 + -34p + -12p = 1 + 12p + -12p

Combine like terms: -34p + -12p = -46p
6 + -46p = 1 + 12p + -12p

Combine like terms: 12p + -12p = 0
6 + -46p = 1 + 0
6 + -46p = 1

Add '-6' to each side of the equation.
6 + -6 + -46p = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -46p = 1 + -6
-46p = 1 + -6

Combine like terms: 1 + -6 = -5
-46p = -5

Divide each side by '-46'.
p = 0.1086956522

Simplifying
p = 0.1086956522