Solving the Equation: 5/6x - 2/3 = 1
In this article, we will solve the equation 5/6x - 2/3 = 1 to find the value of x.
Step 1: Simplify the Equation
First, we need to simplify the equation by combining the fractions:
5/6x - 2/3 = 1
To do this, we need to find the least common multiple (LCM) of 6 and 3, which is 6. So, we can rewrite the equation as:
5x/6 - 4/6 = 1
Step 2: Add 4/6 to Both Sides
Next, we add 4/6 to both sides of the equation to get:
5x/6 = 1 + 4/6 5x/6 = 10/6
Step 3: Multiply Both Sides by 6
Now, we multiply both sides of the equation by 6 to eliminate the fraction:
5x = 10
Step 4: Divide Both Sides by 5
Finally, we divide both sides of the equation by 5 to solve for x:
x = 10/5 x = 2
The Value of x
Therefore, the value of x is 2.
We have successfully solved the equation 5/6x - 2/3 = 1 to find the value of x.
