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.