2(p-3)+3(p+4)=46

Solution for 2(p-3)+3(p+4)=46 equation:

Simplifying
2(p + -3) + 3(p + 4) = 46

Reorder the terms:
2(-3 + p) + 3(p + 4) = 46
(-3 * 2 + p * 2) + 3(p + 4) = 46
(-6 + 2p) + 3(p + 4) = 46

Reorder the terms:
-6 + 2p + 3(4 + p) = 46
-6 + 2p + (4 * 3 + p * 3) = 46
-6 + 2p + (12 + 3p) = 46

Reorder the terms:
-6 + 12 + 2p + 3p = 46

Combine like terms: -6 + 12 = 6
6 + 2p + 3p = 46

Combine like terms: 2p + 3p = 5p
6 + 5p = 46

Solving
6 + 5p = 46

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 + 5p = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 5p = 46 + -6
5p = 46 + -6

Combine like terms: 46 + -6 = 40
5p = 40

Divide each side by '5'.
p = 8

Simplifying
p = 8