To solve the equation 4x - 8 = x + 7, isolate the variable x. The solution is x = 5.
To solve the equation 4x - 8 = x + 7, we can start by isolating the variable x on one side of the equation. First, let's get rid of the x on the right side by subtracting x from both sides of the equation:
4x - x - 8 = x - x + 7
Combining like terms, we have:
3x - 8 = 7
Next, we can isolate x by adding 8 to both sides of the equation:
3x - 8 + 8 = 7 + 8
Which simplifies to:
3x = 15
Finally, we can solve for x by dividing both sides of the equation by 3:
x = 5
To verify the solution, we substitute x = 5 back into the original equation:
4(5) - 8 = 5 + 7
Simplifying, we get:
20 - 8 = 12
Which is a true statement. Therefore, the solution x = 5 is correct.
Learn more about Solving Linear Equations