7(2n-6)=5n+3

Solution for 7(2n-6)=5n+3 equation:

Simplifying
7(2n + -6) = 5n + 3

Reorder the terms:
7(-6 + 2n) = 5n + 3
(-6 * 7 + 2n * 7) = 5n + 3
(-42 + 14n) = 5n + 3

Reorder the terms:
-42 + 14n = 3 + 5n

Solving
-42 + 14n = 3 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-42 + 14n + -5n = 3 + 5n + -5n

Combine like terms: 14n + -5n = 9n
-42 + 9n = 3 + 5n + -5n

Combine like terms: 5n + -5n = 0
-42 + 9n = 3 + 0
-42 + 9n = 3

Add '42' to each side of the equation.
-42 + 42 + 9n = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 9n = 3 + 42
9n = 3 + 42

Combine like terms: 3 + 42 = 45
9n = 45

Divide each side by '9'.
n = 5

Simplifying
n = 5