8(n+3)-5(n-2)=49

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Solution for 8(n+3)-5(n-2)=49 equation: 


Simplifying
8(n + 3) + -5(n + -2) = 49

Reorder the terms:
8(3 + n) + -5(n + -2) = 49
(3 * 8 + n * 8) + -5(n + -2) = 49
(24 + 8n) + -5(n + -2) = 49

Reorder the terms:
24 + 8n + -5(-2 + n) = 49
24 + 8n + (-2 * -5 + n * -5) = 49
24 + 8n + (10 + -5n) = 49

Reorder the terms:
24 + 10 + 8n + -5n = 49

Combine like terms: 24 + 10 = 34
34 + 8n + -5n = 49

Combine like terms: 8n + -5n = 3n
34 + 3n = 49

Solving
34 + 3n = 49

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + 3n = 49 + -34

Combine like terms: 34 + -34 = 0
0 + 3n = 49 + -34
3n = 49 + -34

Combine like terms: 49 + -34 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5

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