5(2p-3)-3(3p-7)=5

Solution for 5(2p-3)-3(3p-7)=5 equation:

Simplifying
5(2p + -3) + -3(3p + -7) = 5

Reorder the terms:
5(-3 + 2p) + -3(3p + -7) = 5
(-3 * 5 + 2p * 5) + -3(3p + -7) = 5
(-15 + 10p) + -3(3p + -7) = 5

Reorder the terms:
-15 + 10p + -3(-7 + 3p) = 5
-15 + 10p + (-7 * -3 + 3p * -3) = 5
-15 + 10p + (21 + -9p) = 5

Reorder the terms:
-15 + 21 + 10p + -9p = 5

Combine like terms: -15 + 21 = 6
6 + 10p + -9p = 5

Combine like terms: 10p + -9p = 1p
6 + 1p = 5

Solving
6 + 1p = 5

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 1p = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 5 + -6
1p = 5 + -6

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

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

Simplifying
p = -1