How do you solve 6( n - 8 ) = 7 ( n - 6 ) + 5?

1 Answer
Oct 10, 2016

n= 85

Explanation:

Given 6(n-8) = 7(n-6) +5

Step 1 : Using distributive property of make the equation simpler

6n - 6(-8) = 7n -7(6) + 5

6n +48 = 7n -42 + 5

Step 2 : Combine like terms

6n +48 = 7n - 37

Step 3 Let's isolate the variable, using the additive property like so

6n + 48 color(red)(-6n) = 7n - 37 color(red)(-6n)

48 = n -37

48 color(blue)(+37) = n -37 color(blue)(+37)

85 = n