1 2-3 6(x-3)=5(8-0 4x)

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Jun 06, 2024

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Solving the Equation: 1/2 - 3 + 6(x-3) = 5(8 - 0.4x)

In this article, we will solve the equation 1/2 - 3 + 6(x-3) = 5(8 - 0.4x). To do this, we will start by simplifying both sides of the equation and then solve for x.

Step 1: Simplify the Equation

Let's start by simplifying the left-hand side of the equation:

1/2 - 3 + 6(x-3)

= 1/2 - 3 + 6x - 18

= -17 + 6x

Now, let's simplify the right-hand side of the equation:

5(8 - 0.4x)

= 40 - 2x

Step 2: Equate the Two Expressions

Now that we have simplified both sides of the equation, we can equate them:

-17 + 6x = 40 - 2x

Step 3: Solve for x

To solve for x, we can add 17 to both sides of the equation:

-17 + 6x + 17 = 40 - 2x + 17

6x + 0 = 57 - 2x

Now, let's add 2x to both sides of the equation:

6x + 2x = 57

8x = 57

Finally, let's divide both sides of the equation by 8:

x = 57/8

x = 7.125

Therefore, the value of x is 7.125.