Solve the Equation: (x-2)/3 = (28-2x)/6

by Kim
(Canada)

Question
Solve the following equation: (x-2)/3 = (28-2x)/6

Answer
Solving this equation means that we need to find the value of x. Below are the steps to do so:



x-intercept
Notice that this equation is given in a form of fraction. To solve for x, we need remove the fraction.
x-intercept
We can remove these fractions by multiplying both sides with 6.
x-intercept
Notice that, we can simplify this equation as shown on the left.
x-intercept
Now, notice that we need to remove the brackets in 2(x-2). This gives 2x -4.
x-intercept
Next, to solve for x, we need to put all the terms with x on one side.
x-intercept
To do so, we add +2x to both sides.
x-intercept
Similarly, we add +4 to both sides.
x-intercept
Now, we can continue to simplify this equation.
x-intercept
To find x, we just need to divide both sides with 4.
x-intercept
Finally, we have the answer, x = 8.





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