.jpeg "1/12=4/3x+5/3(x-7/4)")
Solving the Equation: 1/12 = 4/3x + 5/3(x-7/4)
In this article, we will solve the equation 1/12 = 4/3x + 5/3(x-7/4) step by step.
Step 1: Simplify the Right-Hand Side of the Equation
First, let's simplify the right-hand side of the equation:
4/3x + 5/3(x-7/4) = ?
To simplify this expression, we can start by multiplying the fractions:
4/3x + 5/3x - 35/12
Now, combine like terms:
(4/3 + 5/3)x - 35/12
Step 2: Simplify the Coefficient of x
Simplify the coefficient of x:
(4/3 + 5/3)x = (9/3)x = 3x
So, the equation becomes:
1/12 = 3x - 35/12
Step 3: Solve for x
Now, let's solve for x:
1/12 + 35/12 = 3x
36/12 + 35/12 = 3x
71/12 = 3x
x = 71/36
Conclusion
Therefore, the solution to the equation 1/12 = 4/3x + 5/3(x-7/4) is x = 71/36.
