0.5(4–8x)=5–(8x+2)

Jasonbradley

2 min read Jun 17, 2024

Solving the Equation: 0.5(4 – 8x) = 5 – (8x + 2)

This article will guide you through the steps to solve the linear equation 0.5(4 – 8x) = 5 – (8x + 2).

Step 1: Distribute

Start by distributing the 0.5 on the left side and the negative sign on the right side:

0.5(4 – 8x) = 5 – (8x + 2)
2 - 4x = 5 - 8x - 2

Step 2: Combine Like Terms

Combine the constant terms on the right side of the equation:

2 - 4x = 3 - 8x

Step 3: Isolate the Variable

Move all the x terms to one side and the constant terms to the other side:

-4x + 8x = 3 - 2

Step 4: Simplify

Simplify the equation:

4x = 1

Step 5: Solve for x

Divide both sides by 4 to isolate x:

x = 1/4

Conclusion

Therefore, the solution to the equation 0.5(4 – 8x) = 5 – (8x + 2) is x = 1/4. You can always verify your answer by substituting this value back into the original equation and ensuring both sides are equal.