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

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

Simplifying
5n + -2(3 + -1n) = 4(2n + -3)
5n + (3 * -2 + -1n * -2) = 4(2n + -3)
5n + (-6 + 2n) = 4(2n + -3)

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

Combine like terms: 5n + 2n = 7n
-6 + 7n = 4(2n + -3)

Reorder the terms:
-6 + 7n = 4(-3 + 2n)
-6 + 7n = (-3 * 4 + 2n * 4)
-6 + 7n = (-12 + 8n)

Solving
-6 + 7n = -12 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-6 + 7n + -8n = -12 + 8n + -8n

Combine like terms: 7n + -8n = -1n
-6 + -1n = -12 + 8n + -8n

Combine like terms: 8n + -8n = 0
-6 + -1n = -12 + 0
-6 + -1n = -12

Add '6' to each side of the equation.
-6 + 6 + -1n = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = -12 + 6
-1n = -12 + 6

Combine like terms: -12 + 6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6