We are given the equation 7x+8=4x-10 and we want to find the value of x, such that the equality holds. To do so, we will start with the equation and the solve it for x. That is, we will apply mathematical operations on both sides of the equation, so we end up "ilosating" the x on one side of the equality sign. We start by

First, we subtract 4x on both sides, so we get

Now, we subtract 8 on both sides, so we get

Finally, we divide both sides by 3, so we get

so x=-6.