Question

Which method correctly solves the equation using the distributive property?

-0.2(x-4)=-1.7
-0.2(x-4)--1.7
-0.2x-4--1.7
-0.2x=2.3
x=-11.5
-0.2(x-4)=-1.7
x-4-0.34
x=4.34
-0.2(x-4)=-1.7
-0.2x+0.8--1.7
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Answer 1

The distributive property is used to solve the equation -0.2(x-4)=-1.7 and the correct solution is x = 12.5.

Step-by-step explanation:

The method that correctly solves the equation using the distributive property is the following:

1. Start with the equation: -0.2(x-4)=-1.7
2. Apply the distributive property: -0.2 * x + (-0.2 * -4) = -1.7
3. Simplify the equation: -0.2x + 0.8 = -1.7
4. Move 0.8 to the other side of the equation by subtracting it from both sides: -0.2x = -1.7 - 0.8
5. Simplify further: -0.2x = -2.5
6. Divide both sides of the equation by -0.2 to solve for x: x = -2.5 / -0.2
7. Perform the division: x = 12.5

Therefore, the correct solution for the equation is x = 12.5.

Learn more about Solving equations using the distributive property