solve for x: 12x-20=6(x-20)-9x
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the equation:
12x-20=6(x-20)-9x
Solve for x.
Solution:
In order to solve for x, the first step is to distribute 6 to each value inside the parenthesis.
12x - 20= 6(x-20) - 9x
12x - 20 = 6x - 120 - 9x
12x - 20 = -120 - 3x
Transpose -10 and 12x to the opposite sides of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
120 - 20 = -12x- 3x
100 = -15x
Divide both sides by -15 in order to cancel out -15x, leaving behind x.
-15x/-15 = 100/-15
x = -6.667…
Final answer
x = -6.667…