6(1-3p)-1=5(2p+1)

Solution for 6(1-3p)-1=5(2p+1) equation:

Simplifying
6(1 + -3p) + -1 = 5(2p + 1)
(1 * 6 + -3p * 6) + -1 = 5(2p + 1)
(6 + -18p) + -1 = 5(2p + 1)

Reorder the terms:
6 + -1 + -18p = 5(2p + 1)

Combine like terms: 6 + -1 = 5
5 + -18p = 5(2p + 1)

Reorder the terms:
5 + -18p = 5(1 + 2p)
5 + -18p = (1 * 5 + 2p * 5)
5 + -18p = (5 + 10p)

Add '-5' to each side of the equation.
5 + -5 + -18p = 5 + -5 + 10p

Combine like terms: 5 + -5 = 0
0 + -18p = 5 + -5 + 10p
-18p = 5 + -5 + 10p

Combine like terms: 5 + -5 = 0
-18p = 0 + 10p
-18p = 10p

Solving
-18p = 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-18p + -10p = 10p + -10p

Combine like terms: -18p + -10p = -28p
-28p = 10p + -10p

Combine like terms: 10p + -10p = 0
-28p = 0

Divide each side by '-28'.
p = 0

Simplifying
p = 0