8(n-2)-19=5+2(n+5)

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Solution for 8(n-2)-19=5+2(n+5) equation:


Simplifying
8(n + -2) + -19 = 5 + 2(n + 5)

Reorder the terms:
8(-2 + n) + -19 = 5 + 2(n + 5)
(-2 * 8 + n * 8) + -19 = 5 + 2(n + 5)
(-16 + 8n) + -19 = 5 + 2(n + 5)

Reorder the terms:
-16 + -19 + 8n = 5 + 2(n + 5)

Combine like terms: -16 + -19 = -35
-35 + 8n = 5 + 2(n + 5)

Reorder the terms:
-35 + 8n = 5 + 2(5 + n)
-35 + 8n = 5 + (5 * 2 + n * 2)
-35 + 8n = 5 + (10 + 2n)

Combine like terms: 5 + 10 = 15
-35 + 8n = 15 + 2n

Solving
-35 + 8n = 15 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-35 + 8n + -2n = 15 + 2n + -2n

Combine like terms: 8n + -2n = 6n
-35 + 6n = 15 + 2n + -2n

Combine like terms: 2n + -2n = 0
-35 + 6n = 15 + 0
-35 + 6n = 15

Add '35' to each side of the equation.
-35 + 35 + 6n = 15 + 35

Combine like terms: -35 + 35 = 0
0 + 6n = 15 + 35
6n = 15 + 35

Combine like terms: 15 + 35 = 50
6n = 50

Divide each side by '6'.
n = 8.333333333

Simplifying
n = 8.333333333

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