2(5p+3)-3(p+9)=

Solution for 2(5p+3)-3(p+9)= equation:

Simplifying
2(5p + 3) + -3(p + 9) = 0

Reorder the terms:
2(3 + 5p) + -3(p + 9) = 0
(3 * 2 + 5p * 2) + -3(p + 9) = 0
(6 + 10p) + -3(p + 9) = 0

Reorder the terms:
6 + 10p + -3(9 + p) = 0
6 + 10p + (9 * -3 + p * -3) = 0
6 + 10p + (-27 + -3p) = 0

Reorder the terms:
6 + -27 + 10p + -3p = 0

Combine like terms: 6 + -27 = -21
-21 + 10p + -3p = 0

Combine like terms: 10p + -3p = 7p
-21 + 7p = 0

Solving
-21 + 7p = 0

Solving for variable 'p'.

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

Add '21' to each side of the equation.
-21 + 21 + 7p = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 7p = 0 + 21
7p = 0 + 21

Combine like terms: 0 + 21 = 21
7p = 21

Divide each side by '7'.
p = 3

Simplifying
p = 3