.jpeg "1/6d+2/3=1/4(d-2)")
Solving the Equation: 1/6d + 2/3 = 1/4(d-2)
In this article, we will solve the equation 1/6d + 2/3 = 1/4(d-2) step by step.
Step 1: Simplify the Equation
To simplify the equation, we can start by multiplying both sides by the least common multiple (LCM) of the denominators, which is 12.
12(1/6d + 2/3) = 12(1/4(d-2))
This gives us:
2d + 8 = 3d - 6
Step 2: Isolate the Variable
Now, we can isolate the variable d by subtracting 2d from both sides of the equation.
8 = d - 6
Step 3: Solve for d
Finally, we can add 6 to both sides of the equation to solve for d.
d = 14
Therefore, the value of d is 14.
Conclusion
In this article, we have solved the equation 1/6d + 2/3 = 1/4(d-2) and found that the value of d is 14. This demonstrates the step-by-step process of solving a linear equation with fractions.
