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

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

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

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

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

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

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

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

Solving
19 + 2n = 29

Solving for variable 'n'.

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

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

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

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

Divide each side by '2'.
n = 5

Simplifying
n = 5