Solve the following equation. Then place the correct number in the box provided.4 - 7x + 10 = 15 - 6x - 8

To solve the equation, we need to simplify both sides and combine like terms.

Starting with the left side of the equation: 4 - 7x + 10 = 15 - 6x - 8

Combine the constants on the left side: 14 - 7x = 15 - 6x - 8

Combine the constants on the right side: 14 - 7x = 7 - 6x

Next, we want to isolate the variable terms on one side and the constant terms on the other side. To do this, we can add 7x to both sides of the equation: 14 - 7x + 7x = 7 - 6x + 7x

Simplifying: 14 = 7 + x

Now, subtract 7 from both sides: 14 - 7 = 7 + x - 7

Simplifying: 7 = x

Therefore, the solution to the equation is x = 7.