7(n-3)=2n-6

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

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

Reorder the terms:
7(-3 + n) = 2n + -6
(-3 * 7 + n * 7) = 2n + -6
(-21 + 7n) = 2n + -6

Reorder the terms:
-21 + 7n = -6 + 2n

Solving
-21 + 7n = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-21 + 7n + -2n = -6 + 2n + -2n

Combine like terms: 7n + -2n = 5n
-21 + 5n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-21 + 5n = -6 + 0
-21 + 5n = -6

Add '21' to each side of the equation.
-21 + 21 + 5n = -6 + 21

Combine like terms: -21 + 21 = 0
0 + 5n = -6 + 21
5n = -6 + 21

Combine like terms: -6 + 21 = 15
5n = 15

Divide each side by '5'.
n = 3

Simplifying
n = 3