-2(n-5)=3n-4(n-6)

Solution for -2(n-5)=3n-4(n-6) equation:

Simplifying
-2(n + -5) = 3n + -4(n + -6)

Reorder the terms:
-2(-5 + n) = 3n + -4(n + -6)
(-5 * -2 + n * -2) = 3n + -4(n + -6)
(10 + -2n) = 3n + -4(n + -6)

Reorder the terms:
10 + -2n = 3n + -4(-6 + n)
10 + -2n = 3n + (-6 * -4 + n * -4)
10 + -2n = 3n + (24 + -4n)

Reorder the terms:
10 + -2n = 24 + 3n + -4n

Combine like terms: 3n + -4n = -1n
10 + -2n = 24 + -1n

Solving
10 + -2n = 24 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
10 + -2n + n = 24 + -1n + n

Combine like terms: -2n + n = -1n
10 + -1n = 24 + -1n + n

Combine like terms: -1n + n = 0
10 + -1n = 24 + 0
10 + -1n = 24

Add '-10' to each side of the equation.
10 + -10 + -1n = 24 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 24 + -10
-1n = 24 + -10

Combine like terms: 24 + -10 = 14
-1n = 14

Divide each side by '-1'.
n = -14

Simplifying
n = -14