What is the solution for this equation 3(80-9x)=x-96
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the equation:
3 ( 80 - 9x ) = x - 96
Determine the solution of the equation.
Solution:
In order to determine the solution of the equation, we simply need to solve for x. The first step is to distribute 3 to each value inside the parenthesis, and then we need to combine like terms.
3 ( 80 - 9x ) = x - 96
240 - 27x = x - 96
Transpose -27x and -96 to the opposite sides of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
240 + 96 = x + 27
336 = 28x
Divide both sides by 28 in order to cancel out 28x leaving behind x.
28x/28 = 336/28
x = 12
Final answer:
x =12