5(2n+8)=7(2n+8)

Solution for 5(2n+8)=7(2n+8) equation:

Simplifying
5(2n + 8) = 7(2n + 8)

Reorder the terms:
5(8 + 2n) = 7(2n + 8)
(8 * 5 + 2n * 5) = 7(2n + 8)
(40 + 10n) = 7(2n + 8)

Reorder the terms:
40 + 10n = 7(8 + 2n)
40 + 10n = (8 * 7 + 2n * 7)
40 + 10n = (56 + 14n)

Solving
40 + 10n = 56 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
40 + 10n + -14n = 56 + 14n + -14n

Combine like terms: 10n + -14n = -4n
40 + -4n = 56 + 14n + -14n

Combine like terms: 14n + -14n = 0
40 + -4n = 56 + 0
40 + -4n = 56

Add '-40' to each side of the equation.
40 + -40 + -4n = 56 + -40

Combine like terms: 40 + -40 = 0
0 + -4n = 56 + -40
-4n = 56 + -40

Combine like terms: 56 + -40 = 16
-4n = 16

Divide each side by '-4'.
n = -4

Simplifying
n = -4