3(p-3)+4(2p+1)=50

Solution for 3(p-3)+4(2p+1)=50 equation:

Simplifying
3(p + -3) + 4(2p + 1) = 50

Reorder the terms:
3(-3 + p) + 4(2p + 1) = 50
(-3 * 3 + p * 3) + 4(2p + 1) = 50
(-9 + 3p) + 4(2p + 1) = 50

Reorder the terms:
-9 + 3p + 4(1 + 2p) = 50
-9 + 3p + (1 * 4 + 2p * 4) = 50
-9 + 3p + (4 + 8p) = 50

Reorder the terms:
-9 + 4 + 3p + 8p = 50

Combine like terms: -9 + 4 = -5
-5 + 3p + 8p = 50

Combine like terms: 3p + 8p = 11p
-5 + 11p = 50

Solving
-5 + 11p = 50

Solving for variable 'p'.

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

Add '5' to each side of the equation.
-5 + 5 + 11p = 50 + 5

Combine like terms: -5 + 5 = 0
0 + 11p = 50 + 5
11p = 50 + 5

Combine like terms: 50 + 5 = 55
11p = 55

Divide each side by '11'.
p = 5

Simplifying
p = 5