5(p+2)-(p+4)=3p-1

Solution for 5(p+2)-(p+4)=3p-1 equation:

Simplifying
5(p + 2) + -1(p + 4) = 3p + -1

Reorder the terms:
5(2 + p) + -1(p + 4) = 3p + -1
(2 * 5 + p * 5) + -1(p + 4) = 3p + -1
(10 + 5p) + -1(p + 4) = 3p + -1

Reorder the terms:
10 + 5p + -1(4 + p) = 3p + -1
10 + 5p + (4 * -1 + p * -1) = 3p + -1
10 + 5p + (-4 + -1p) = 3p + -1

Reorder the terms:
10 + -4 + 5p + -1p = 3p + -1

Combine like terms: 10 + -4 = 6
6 + 5p + -1p = 3p + -1

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

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

Solving
6 + 4p = -1 + 3p

Solving for variable 'p'.

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

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

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

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

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

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

Combine like terms: -1 + -6 = -7
1p = -7

Divide each side by '1'.
p = -7

Simplifying
p = -7