4p+3=6(p+1)-1

Solution for 4p+3=6(p+1)-1 equation:

Simplifying
4p + 3 = 6(p + 1) + -1

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

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

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

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

Solving
3 + 4p = 5 + 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 = 5 + 6p + -6p

Combine like terms: 4p + -6p = -2p
3 + -2p = 5 + 6p + -6p

Combine like terms: 6p + -6p = 0
3 + -2p = 5 + 0
3 + -2p = 5

Add '-3' to each side of the equation.
3 + -3 + -2p = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -2p = 5 + -3
-2p = 5 + -3

Combine like terms: 5 + -3 = 2
-2p = 2

Divide each side by '-2'.
p = -1

Simplifying
p = -1