2[7p-2(p-1)]+3(4p+7)=5-(p-1)

Solution for 2[7p-2(p-1)]+3(4p+7)=5-(p-1) equation:

Simplifying
2[7p + -2(p + -1)] + 3(4p + 7) = 5 + -1(p + -1)

Reorder the terms:
2[7p + -2(-1 + p)] + 3(4p + 7) = 5 + -1(p + -1)
2[7p + (-1 * -2 + p * -2)] + 3(4p + 7) = 5 + -1(p + -1)
2[7p + (2 + -2p)] + 3(4p + 7) = 5 + -1(p + -1)

Reorder the terms:
2[2 + 7p + -2p] + 3(4p + 7) = 5 + -1(p + -1)

Combine like terms: 7p + -2p = 5p
2[2 + 5p] + 3(4p + 7) = 5 + -1(p + -1)
[2 * 2 + 5p * 2] + 3(4p + 7) = 5 + -1(p + -1)
[4 + 10p] + 3(4p + 7) = 5 + -1(p + -1)

Reorder the terms:
4 + 10p + 3(7 + 4p) = 5 + -1(p + -1)
4 + 10p + (7 * 3 + 4p * 3) = 5 + -1(p + -1)
4 + 10p + (21 + 12p) = 5 + -1(p + -1)

Reorder the terms:
4 + 21 + 10p + 12p = 5 + -1(p + -1)

Combine like terms: 4 + 21 = 25
25 + 10p + 12p = 5 + -1(p + -1)

Combine like terms: 10p + 12p = 22p
25 + 22p = 5 + -1(p + -1)

Reorder the terms:
25 + 22p = 5 + -1(-1 + p)
25 + 22p = 5 + (-1 * -1 + p * -1)
25 + 22p = 5 + (1 + -1p)

Combine like terms: 5 + 1 = 6
25 + 22p = 6 + -1p

Solving
25 + 22p = 6 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
25 + 22p + p = 6 + -1p + p

Combine like terms: 22p + p = 23p
25 + 23p = 6 + -1p + p

Combine like terms: -1p + p = 0
25 + 23p = 6 + 0
25 + 23p = 6

Add '-25' to each side of the equation.
25 + -25 + 23p = 6 + -25

Combine like terms: 25 + -25 = 0
0 + 23p = 6 + -25
23p = 6 + -25

Combine like terms: 6 + -25 = -19
23p = -19

Divide each side by '23'.
p = -0.8260869565

Simplifying
p = -0.8260869565