Question

Complete each step in the following solution. 10x 8 = 3(x – 2) 10x 8 = 3x 7x = x = -2.

Answer 1

To solve the equation 10x + 8 = 3(x - 2), distribute the 3, combine like terms, and then divide to solve for x.

Step-by-step explanation:

To solve the equation 10x + 8 = 3(x - 2), you need to follow these steps:

1. Distribute the 3 to the terms inside the parentheses: 10x + 8 = 3x - 6.
2. Combine like terms on both sides of the equation: 10x - 3x = -6 - 8. This simplifies to 7x = -14.
3. Divide both sides of the equation by 7 to solve for x: x = -2.

Answer 2

To solve the equation 10x + 8 = 3(x - 2), distribute the 3, combine like terms, isolate the variable, and solve for x.

Step-by-step explanation:

To solve the equation 10x + 8 = 3(x - 2), we need to first distribute the 3 on the right side of the equation.

This gives us 10x + 8 = 3x - 6.

Next, we need to combine like terms on both sides, so we subtract 3x from both sides to get 7x + 8 = -6.

Then, we subtract 8 from both sides to isolate the variable, resulting in 7x = -14.

Finally, we divide both sides by 7 to solve for x, giving us x = -2.