3(n-7)=2n-1

Solution for 3(n-7)=2n-1 equation:

Simplifying
3(n + -7) = 2n + -1

Reorder the terms:
3(-7 + n) = 2n + -1
(-7 * 3 + n * 3) = 2n + -1
(-21 + 3n) = 2n + -1

Reorder the terms:
-21 + 3n = -1 + 2n

Solving
-21 + 3n = -1 + 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 + 3n + -2n = -1 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-21 + 1n = -1 + 2n + -2n

Combine like terms: 2n + -2n = 0
-21 + 1n = -1 + 0
-21 + 1n = -1

Add '21' to each side of the equation.
-21 + 21 + 1n = -1 + 21

Combine like terms: -21 + 21 = 0
0 + 1n = -1 + 21
1n = -1 + 21

Combine like terms: -1 + 21 = 20
1n = 20

Divide each side by '1'.
n = 20

Simplifying
n = 20