x-(9x - 10)+11=12x+3(-2x+1/3)
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given the equation:
x-(9x - 10)+11=12x+3(-2x+1/3)
Solve for x.
Solution:
In order to solve for x, the first step is to distribute 3 to its corresponding parenthesis and then combine similar terms.
x-(9x - 10)+11=12x+3(-2x+1/3)
x - 9x - 10 + 1 = 12x -6x + 1
-8x - 9 = 6x + 1
Transpose 1 and -8x to the opposite sides of the equation, hence it must be taken to note that in transposing a number the sign changes.
-9 - 1 = 6x + 8x
-10 = 14x
Divide both sides by 14 to determine the value of x.
-10/14 = 14x/14
x = -5/7
Final answer:
x = -5/7