-97=5p-3(6p+2)

Solution for -97=5p-3(6p+2) equation:

Simplifying
-97 = 5p + -3(6p + 2)

Reorder the terms:
-97 = 5p + -3(2 + 6p)
-97 = 5p + (2 * -3 + 6p * -3)
-97 = 5p + (-6 + -18p)

Reorder the terms:
-97 = -6 + 5p + -18p

Combine like terms: 5p + -18p = -13p
-97 = -6 + -13p

Solving
-97 = -6 + -13p

Solving for variable 'p'.

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

Add '13p' to each side of the equation.
-97 + 13p = -6 + -13p + 13p

Combine like terms: -13p + 13p = 0
-97 + 13p = -6 + 0
-97 + 13p = -6

Add '97' to each side of the equation.
-97 + 97 + 13p = -6 + 97

Combine like terms: -97 + 97 = 0
0 + 13p = -6 + 97
13p = -6 + 97

Combine like terms: -6 + 97 = 91
13p = 91

Divide each side by '13'.
p = 7

Simplifying
p = 7