4/5(15x+20)-7x=5/6(12x-24)+6 solve for x
Mathematics · College · Mon Jan 18 2021
Answered on
Given the equation:
4/5(15x+20)-7x=5/6(12x-24)+6
Solve for x.
Solution:
In order to solve for x, we start with distributing 4/5 and 5/6 to their corresponding parenthesis, then we combine similar terms.
4/5(15x+20)-7x=5/6(12x-24)+6
12x + 16 - 7x = 10x - 20 + 6
5x + 16 = 10x - 14
Transpose 5x and -14 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign change.
10x - 5x = 14 + 16
5x = 30
Divide both sides by 5 in order to determine the value of x.
5x/5 = 30/5
x = 6
Final answer:
x = 6