1/5(4x-2.5)=5(0.4x+10)+3 1/2

2 min read Jun 16, 2024

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.

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

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

Now, we can equate the simplified left and right sides of the equation:

0.8x - 0.5 = 2x + 53.5

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.