Solving the Equation: 1/5(4x-2.5)=5(0.4x+10)+3 1/2
In this article, we will solve the equation 1/5(4x-2.5)=5(0.4x+10)+3 1/2 step by step.
Step 1: Simplify the Left Side
To simplify the left side of the equation, we need to evaluate the expression inside the parentheses:
1/5(4x-2.5) = 0.8x - 0.5
Step 2: Simplify the Right Side
To simplify the right side of the equation, we need to evaluate the expression inside the parentheses:
5(0.4x+10) = 2x + 50
Adding 3 1/2 to the right side, we get:
2x + 50 + 3.5 = 2x + 53.5
Step 3: Equate the Two Expressions
Now, we can equate the simplified left and right sides of the equation:
0.8x - 0.5 = 2x + 53.5
Step 4: Solve for x
To solve for x, we can add 0.5 to both sides of the equation to get:
0.8x = 2x + 54
Subtracting 2x from both sides gives us:
-1.2x = 54
Dividing both sides by -1.2, we get:
x = -45
Therefore, the solution to the equation 1/5(4x-2.5)=5(0.4x+10)+3 1/2 is x = -45.