-2p+6=5(p-1)-(7-2p)

Solution for -2p+6=5(p-1)-(7-2p) equation:

Simplifying
-2p + 6 = 5(p + -1) + -1(7 + -2p)

Reorder the terms:
6 + -2p = 5(p + -1) + -1(7 + -2p)

Reorder the terms:
6 + -2p = 5(-1 + p) + -1(7 + -2p)
6 + -2p = (-1 * 5 + p * 5) + -1(7 + -2p)
6 + -2p = (-5 + 5p) + -1(7 + -2p)
6 + -2p = -5 + 5p + (7 * -1 + -2p * -1)
6 + -2p = -5 + 5p + (-7 + 2p)

Reorder the terms:
6 + -2p = -5 + -7 + 5p + 2p

Combine like terms: -5 + -7 = -12
6 + -2p = -12 + 5p + 2p

Combine like terms: 5p + 2p = 7p
6 + -2p = -12 + 7p

Solving
6 + -2p = -12 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
6 + -2p + -7p = -12 + 7p + -7p

Combine like terms: -2p + -7p = -9p
6 + -9p = -12 + 7p + -7p

Combine like terms: 7p + -7p = 0
6 + -9p = -12 + 0
6 + -9p = -12

Add '-6' to each side of the equation.
6 + -6 + -9p = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9p = -12 + -6
-9p = -12 + -6

Combine like terms: -12 + -6 = -18
-9p = -18

Divide each side by '-9'.
p = 2

Simplifying
p = 2