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

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

Simplifying
3(5p + 2) + -2(5p + -3) = 0

Reorder the terms:
3(2 + 5p) + -2(5p + -3) = 0
(2 * 3 + 5p * 3) + -2(5p + -3) = 0
(6 + 15p) + -2(5p + -3) = 0

Reorder the terms:
6 + 15p + -2(-3 + 5p) = 0
6 + 15p + (-3 * -2 + 5p * -2) = 0
6 + 15p + (6 + -10p) = 0

Reorder the terms:
6 + 6 + 15p + -10p = 0

Combine like terms: 6 + 6 = 12
12 + 15p + -10p = 0

Combine like terms: 15p + -10p = 5p
12 + 5p = 0

Solving
12 + 5p = 0

Solving for variable 'p'.

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

Add '-12' to each side of the equation.
12 + -12 + 5p = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 5p = 0 + -12
5p = 0 + -12

Combine like terms: 0 + -12 = -12
5p = -12

Divide each side by '5'.
p = -2.4

Simplifying
p = -2.4