2(p-3)+5(p-7)=0

Solution for 2(p-3)+5(p-7)=0 equation:

Simplifying
2(p + -3) + 5(p + -7) = 0

Reorder the terms:
2(-3 + p) + 5(p + -7) = 0
(-3 * 2 + p * 2) + 5(p + -7) = 0
(-6 + 2p) + 5(p + -7) = 0

Reorder the terms:
-6 + 2p + 5(-7 + p) = 0
-6 + 2p + (-7 * 5 + p * 5) = 0
-6 + 2p + (-35 + 5p) = 0

Reorder the terms:
-6 + -35 + 2p + 5p = 0

Combine like terms: -6 + -35 = -41
-41 + 2p + 5p = 0

Combine like terms: 2p + 5p = 7p
-41 + 7p = 0

Solving
-41 + 7p = 0

Solving for variable 'p'.

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

Add '41' to each side of the equation.
-41 + 41 + 7p = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 7p = 0 + 41
7p = 0 + 41

Combine like terms: 0 + 41 = 41
7p = 41

Divide each side by '7'.
p = 5.857142857

Simplifying
p = 5.857142857