-4(p+2)+8=2(p-1)-7p+5

Solution for -4(p+2)+8=2(p-1)-7p+5 equation:

Simplifying
-4(p + 2) + 8 = 2(p + -1) + -7p + 5

Reorder the terms:
-4(2 + p) + 8 = 2(p + -1) + -7p + 5
(2 * -4 + p * -4) + 8 = 2(p + -1) + -7p + 5
(-8 + -4p) + 8 = 2(p + -1) + -7p + 5

Reorder the terms:
-8 + 8 + -4p = 2(p + -1) + -7p + 5

Combine like terms: -8 + 8 = 0
0 + -4p = 2(p + -1) + -7p + 5
-4p = 2(p + -1) + -7p + 5

Reorder the terms:
-4p = 2(-1 + p) + -7p + 5
-4p = (-1 * 2 + p * 2) + -7p + 5
-4p = (-2 + 2p) + -7p + 5

Reorder the terms:
-4p = -2 + 5 + 2p + -7p

Combine like terms: -2 + 5 = 3
-4p = 3 + 2p + -7p

Combine like terms: 2p + -7p = -5p
-4p = 3 + -5p

Solving
-4p = 3 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
-4p + 5p = 3 + -5p + 5p

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

Combine like terms: -5p + 5p = 0
1p = 3 + 0
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3