%3D3(7-0-4x).jpeg "0 6-1 6(x-4)=3(7-0 4x)")
Solving the Equation: 0.6 - 1.6(x-4) = 3(7-0.4x)
In this article, we will solve the equation 0.6 - 1.6(x-4) = 3(7-0.4x). To solve this equation, we will start by following the order of operations (PEMDAS) and simplifying the equation step by step.
Step 1: Simplify the Left Side of the Equation
Let's start by simplifying the left side of the equation:
0.6 - 1.6(x-4) = ?
Expanding the parentheses, we get:
0.6 - 1.6x + 6.4 = ?
Step 2: Simplify the Right Side of the Equation
Now, let's simplify the right side of the equation:
3(7-0.4x) = ?
Expanding the parentheses, we get:
21 - 1.2x = ?
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, we can equate them:
0.6 - 1.6x + 6.4 = 21 - 1.2x
Step 4: Combine Like Terms
Next, we combine like terms:
5.0 - 1.6x = 21 - 1.2x
Step 5: Solve for x
To solve for x, we can add 1.2x to both sides of the equation:
5.0 - 1.6x + 1.2x = 21 - 1.2x + 1.2x
This simplifies to:
5.0 - 0.4x = 21
Subtracting 5.0 from both sides gives:
-0.4x = 16
Dividing both sides by -0.4 gives:
x = -16/0.4
x = -40
Therefore, the value of x is -40.
