7(2n+6-4n)=3(2n)-8

Solution for 7(2n+6-4n)=3(2n)-8 equation:

Simplifying
7(2n + 6 + -4n) = 3(2n) + -8

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

Combine like terms: 2n + -4n = -2n
7(6 + -2n) = 3(2n) + -8
(6 * 7 + -2n * 7) = 3(2n) + -8
(42 + -14n) = 3(2n) + -8

Remove parenthesis around (2n)
42 + -14n = 3 * 2n + -8

Multiply 3 * 2
42 + -14n = 6n + -8

Reorder the terms:
42 + -14n = -8 + 6n

Solving
42 + -14n = -8 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
42 + -14n + -6n = -8 + 6n + -6n

Combine like terms: -14n + -6n = -20n
42 + -20n = -8 + 6n + -6n

Combine like terms: 6n + -6n = 0
42 + -20n = -8 + 0
42 + -20n = -8

Add '-42' to each side of the equation.
42 + -42 + -20n = -8 + -42

Combine like terms: 42 + -42 = 0
0 + -20n = -8 + -42
-20n = -8 + -42

Combine like terms: -8 + -42 = -50
-20n = -50

Divide each side by '-20'.
n = 2.5

Simplifying
n = 2.5