8(3-n)-(n-3)=3(2n-1)

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Solution for 8(3-n)-(n-3)=3(2n-1) equation:


Simplifying
8(3 + -1n) + -1(n + -3) = 3(2n + -1)
(3 * 8 + -1n * 8) + -1(n + -3) = 3(2n + -1)
(24 + -8n) + -1(n + -3) = 3(2n + -1)

Reorder the terms:
24 + -8n + -1(-3 + n) = 3(2n + -1)
24 + -8n + (-3 * -1 + n * -1) = 3(2n + -1)
24 + -8n + (3 + -1n) = 3(2n + -1)

Reorder the terms:
24 + 3 + -8n + -1n = 3(2n + -1)

Combine like terms: 24 + 3 = 27
27 + -8n + -1n = 3(2n + -1)

Combine like terms: -8n + -1n = -9n
27 + -9n = 3(2n + -1)

Reorder the terms:
27 + -9n = 3(-1 + 2n)
27 + -9n = (-1 * 3 + 2n * 3)
27 + -9n = (-3 + 6n)

Solving
27 + -9n = -3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
27 + -9n + -6n = -3 + 6n + -6n

Combine like terms: -9n + -6n = -15n
27 + -15n = -3 + 6n + -6n

Combine like terms: 6n + -6n = 0
27 + -15n = -3 + 0
27 + -15n = -3

Add '-27' to each side of the equation.
27 + -27 + -15n = -3 + -27

Combine like terms: 27 + -27 = 0
0 + -15n = -3 + -27
-15n = -3 + -27

Combine like terms: -3 + -27 = -30
-15n = -30

Divide each side by '-15'.
n = 2

Simplifying
n = 2

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