0 4x=0 4-2(x+2)

less than a minute read Jun 17, 2024
0 4x=0 4-2(x+2)

Solving the Equation: 0.4x = 0.4 - 2(x+2)

This article will guide you through the steps to solve the equation 0.4x = 0.4 - 2(x+2).

1. Distribute the -2

Begin by distributing the -2 on the right side of the equation:

0.4x = 0.4 - 2x - 4

2. Combine Like Terms

Combine the constant terms on the right side:

0.4x = -3.6 - 2x

3. Isolate the x Terms

Add 2x to both sides of the equation to bring all the x terms together:

0.4x + 2x = -3.6

4. Simplify

Combine the x terms:

2.4x = -3.6

5. Solve for x

Divide both sides by 2.4 to isolate x:

x = -3.6 / 2.4

6. Simplify the Solution

Simplify the result:

x = -1.5

Conclusion

Therefore, the solution to the equation 0.4x = 0.4 - 2(x+2) is x = -1.5.