2n-34=5(2n+6)

Solution for 2n-34=5(2n+6) equation:

Simplifying
2n + -34 = 5(2n + 6)

Reorder the terms:
-34 + 2n = 5(2n + 6)

Reorder the terms:
-34 + 2n = 5(6 + 2n)
-34 + 2n = (6 * 5 + 2n * 5)
-34 + 2n = (30 + 10n)

Solving
-34 + 2n = 30 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-34 + 2n + -10n = 30 + 10n + -10n

Combine like terms: 2n + -10n = -8n
-34 + -8n = 30 + 10n + -10n

Combine like terms: 10n + -10n = 0
-34 + -8n = 30 + 0
-34 + -8n = 30

Add '34' to each side of the equation.
-34 + 34 + -8n = 30 + 34

Combine like terms: -34 + 34 = 0
0 + -8n = 30 + 34
-8n = 30 + 34

Combine like terms: 30 + 34 = 64
-8n = 64

Divide each side by '-8'.
n = -8

Simplifying
n = -8