3(2n+1)=4n-7

Solution for 3(2n+1)=4n-7 equation:

Simplifying
3(2n + 1) = 4n + -7

Reorder the terms:
3(1 + 2n) = 4n + -7
(1 * 3 + 2n * 3) = 4n + -7
(3 + 6n) = 4n + -7

Reorder the terms:
3 + 6n = -7 + 4n

Solving
3 + 6n = -7 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
3 + 6n + -4n = -7 + 4n + -4n

Combine like terms: 6n + -4n = 2n
3 + 2n = -7 + 4n + -4n

Combine like terms: 4n + -4n = 0
3 + 2n = -7 + 0
3 + 2n = -7

Add '-3' to each side of the equation.
3 + -3 + 2n = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = -7 + -3
2n = -7 + -3

Combine like terms: -7 + -3 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5