Question

how many solutions does 4x + 22 = 8x + 10 have

Answer 1

This is a linear equation, so it will have exactly one solution.

To solve for x, we can first get rid of the variables on one side of the equation by subtracting 4x from both sides:

22 = 4x + 8x + 10

22 = 12x + 10

Next, we isolate the variable by subtracting 10 from both sides:

12 = 12x

Finally, we solve for x by dividing both sides by 12:

x = 1

Therefore, the equation has exactly one solution, x = 1.