Final answer:
The question pertains to solving a linear equation. First, you rearrange the equation to get all x terms on one side and constants on the other. Subtract the x terms and add the constants to get 0.1x = 0.7. Finally, divide by 0.1 to solve for x and get x = 7.
Step-by-step explanation:
The subject of this question is Mathematics and it is generally applicable to high school level of education. The question involves solving the given linear equation: 0.3x + 0.5 = 0.4x - 0.2 for x. Here are the steps to solve it:
1.
First, rearrange the terms to one side of the equation to gather all x terms together and all the constants on the other side. This gives: 0.4x - 0.3x = 0.5 + 0.2
2.
Next, subtract 0.3x from 0.4x to get 0.1x on the left hand side. Add 0.5 and 0.2 to get 0.7 on the right hand side. This gives: 0.1x = 0.7
3.
Finally, divide both sides of the equation by 0.1 to find the value of x. This gives: x = 0.7 / 0.1 = 7 Therefore, the solution for the given equation is x = 7.
Learn more about Solving Linear Equations