123-[6*(9-4)+2*(10-8)]*2=N

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Solution for 123-[6*(9-4)+2*(10-8)]*2=N equation:


Simplifying
123 + -1[6(9 + -4) + 2(10 + -8)] * 2 = N

Combine like terms: 9 + -4 = 5
123 + -1[6(5) + 2(10 + -8)] * 2 = N

Multiply 6 * 5
123 + -1[30 + 2(10 + -8)] * 2 = N

Combine like terms: 10 + -8 = 2
123 + -1[30 + 2(2)] * 2 = N

Multiply 2 * 2
123 + -1[30 + 4] * 2 = N

Combine like terms: 30 + 4 = 34
123 + -1[34] * 2 = N

Multiply -1 * 34
123 + -34 * 2 = N

Multiply -34 * 2
123 + -68 = N

Combine like terms: 123 + -68 = 55
55 = N

Solving
55 = N

Solving for variable 'N'.

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

Add '-1N' to each side of the equation.
55 + -1N = N + -1N

Combine like terms: N + -1N = 0
55 + -1N = 0

Add '-55' to each side of the equation.
55 + -55 + -1N = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1N = 0 + -55
-1N = 0 + -55

Combine like terms: 0 + -55 = -55
-1N = -55

Divide each side by '-1'.
N = 55

Simplifying
N = 55

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