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

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

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

Reorder the terms:
-3 + 5p + -1p = 6p + 1

Combine like terms: 5p + -1p = 4p
-3 + 4p = 6p + 1

Reorder the terms:
-3 + 4p = 1 + 6p

Solving
-3 + 4p = 1 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-3 + 4p + -6p = 1 + 6p + -6p

Combine like terms: 4p + -6p = -2p
-3 + -2p = 1 + 6p + -6p

Combine like terms: 6p + -6p = 0
-3 + -2p = 1 + 0
-3 + -2p = 1

Add '3' to each side of the equation.
-3 + 3 + -2p = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -2p = 1 + 3
-2p = 1 + 3

Combine like terms: 1 + 3 = 4
-2p = 4

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

Simplifying
p = -2