Question

The first step in solving 8+5(x-3)=6x+12 is to subtract 12 from both sides. subtract 6x from both sides. subtract 8 from both sides. apply the distributive property.

Answer 1

To solve the equation, we need to apply the distributive property and combine like terms. Then, isolate the variable x by adding or subtracting terms to both sides of the equation. The final step is to solve for x.

Step-by-step explanation:

1. The first step in solving the equation 8+5(x-3)=6x+12 is to simplify both sides by applying the distributive property. This means multiplying 5 by each term inside the parentheses.
2. This gives us 8 + 5x - 15 = 6x + 12.
3. Next, combine like terms. On the left side, we have 8 - 15 which is -7. On the right side, we have 5x - 6x which is -x. So the equation becomes -7 = -x + 12.
4. To isolate the variable x, we need to get rid of the -x term on the right side. We can do this by adding x to both sides.
5. By doing so, we get x - 7 = 12.
6. Finally, we can solve for x by adding 7 to both sides of the equation.
7. This gives us x = 19.