5-[n-4]=3[n+2]

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Solution for 5-[n-4]=3[n+2] equation:


Simplifying
5 + -1[n + -4] = 3[n + 2]

Reorder the terms:
5 + -1[-4 + n] = 3[n + 2]
5 + [-4 * -1 + n * -1] = 3[n + 2]
5 + [4 + -1n] = 3[n + 2]

Combine like terms: 5 + 4 = 9
9 + -1n = 3[n + 2]

Reorder the terms:
9 + -1n = 3[2 + n]
9 + -1n = [2 * 3 + n * 3]
9 + -1n = [6 + 3n]

Solving
9 + -1n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
9 + -1n + -3n = 6 + 3n + -3n

Combine like terms: -1n + -3n = -4n
9 + -4n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
9 + -4n = 6 + 0
9 + -4n = 6

Add '-9' to each side of the equation.
9 + -9 + -4n = 6 + -9

Combine like terms: 9 + -9 = 0
0 + -4n = 6 + -9
-4n = 6 + -9

Combine like terms: 6 + -9 = -3
-4n = -3

Divide each side by '-4'.
n = 0.75

Simplifying
n = 0.75

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