2[3x-(4x-6)]=5(n+5)

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Solution for 2[3x-(4x-6)]=5(n+5) equation:


Simplifying
2[3x + -1(4x + -6)] = 5(n + 5)

Reorder the terms:
2[3x + -1(-6 + 4x)] = 5(n + 5)
2[3x + (-6 * -1 + 4x * -1)] = 5(n + 5)
2[3x + (6 + -4x)] = 5(n + 5)

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

Combine like terms: 3x + -4x = -1x
2[6 + -1x] = 5(n + 5)
[6 * 2 + -1x * 2] = 5(n + 5)
[12 + -2x] = 5(n + 5)

Reorder the terms:
12 + -2x = 5(5 + n)
12 + -2x = (5 * 5 + n * 5)
12 + -2x = (25 + 5n)

Solving
12 + -2x = 25 + 5n

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -2x = 25 + -12 + 5n

Combine like terms: 12 + -12 = 0
0 + -2x = 25 + -12 + 5n
-2x = 25 + -12 + 5n

Combine like terms: 25 + -12 = 13
-2x = 13 + 5n

Divide each side by '-2'.
x = -6.5 + -2.5n

Simplifying
x = -6.5 + -2.5n

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