4(2p+1)-3(2p-5)=29

Solution for 4(2p+1)-3(2p-5)=29 equation:

Simplifying
4(2p + 1) + -3(2p + -5) = 29

Reorder the terms:
4(1 + 2p) + -3(2p + -5) = 29
(1 * 4 + 2p * 4) + -3(2p + -5) = 29
(4 + 8p) + -3(2p + -5) = 29

Reorder the terms:
4 + 8p + -3(-5 + 2p) = 29
4 + 8p + (-5 * -3 + 2p * -3) = 29
4 + 8p + (15 + -6p) = 29

Reorder the terms:
4 + 15 + 8p + -6p = 29

Combine like terms: 4 + 15 = 19
19 + 8p + -6p = 29

Combine like terms: 8p + -6p = 2p
19 + 2p = 29

Solving
19 + 2p = 29

Solving for variable 'p'.

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

Add '-19' to each side of the equation.
19 + -19 + 2p = 29 + -19

Combine like terms: 19 + -19 = 0
0 + 2p = 29 + -19
2p = 29 + -19

Combine like terms: 29 + -19 = 10
2p = 10

Divide each side by '2'.
p = 5

Simplifying
p = 5