Question

Identify the equation modeled below, and then find its solution.

A. Equation: -4x + 6 = -2x - 2; Solution: x = 4
B. Equation: 6x + 4 = -2x + 2; Solution: x = 1
C. Equation: 6x - 4 = -2x - 2; Solution: x = 2
D. Equation: 6x - 4 = -2x - 2; Solution: x = 1

Answer 1

The equation modeled is 6x - 4 = -2x - 2. To find the solution, isolate the variable x by performing operations on both sides of the equation. The solution is x = 1/2.

Step-by-step explanation:

The equation modeled below is Equation: 6x - 4 = -2x - 2

To find its solution, we need to isolate the variable x on one side of the equation. We can do this by adding 2x to both sides of the equation:

6x - 2x - 4 = -2x - 2 + 2x

Combining like terms, we get:

4x - 4 = -2

Next, we can add 4 to both sides of the equation to get rid of the -4:

4x - 4 + 4 = -2 + 4

This simplifies to:

4x = 2

Finally, we divide both sides of the equation by 4 to solve for x:

x = 2/4

Therefore, the solution to the equation is Solution: x = 1/2