2(2n+3)=8(7n+4)+4

Solution for 2(2n+3)=8(7n+4)+4 equation:

Simplifying
2(2n + 3) = 8(7n + 4) + 4

Reorder the terms:
2(3 + 2n) = 8(7n + 4) + 4
(3 * 2 + 2n * 2) = 8(7n + 4) + 4
(6 + 4n) = 8(7n + 4) + 4

Reorder the terms:
6 + 4n = 8(4 + 7n) + 4
6 + 4n = (4 * 8 + 7n * 8) + 4
6 + 4n = (32 + 56n) + 4

Reorder the terms:
6 + 4n = 32 + 4 + 56n

Combine like terms: 32 + 4 = 36
6 + 4n = 36 + 56n

Solving
6 + 4n = 36 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
6 + 4n + -56n = 36 + 56n + -56n

Combine like terms: 4n + -56n = -52n
6 + -52n = 36 + 56n + -56n

Combine like terms: 56n + -56n = 0
6 + -52n = 36 + 0
6 + -52n = 36

Add '-6' to each side of the equation.
6 + -6 + -52n = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -52n = 36 + -6
-52n = 36 + -6

Combine like terms: 36 + -6 = 30
-52n = 30

Divide each side by '-52'.
n = -0.5769230769

Simplifying
n = -0.5769230769