Solve for X in the Equation: x + 5 = 11x - Step by Step

Question

Solve for X:

x+5=11x x+5=11x

Video Solution

Solution Steps

00:05 Let's solve the problem together!
00:09 First, we need to isolate the unknown variable, X.
00:26 Next, let's simplify or reduce as much as we can for clarity.
00:41 We can write any division as a fraction.
00:49 Factorize ten into two times five.
00:56 Again, reduce where possible.
01:02 And there you have it, the solution to our question!

Step-by-Step Solution

Let's solve the equation x+5=11x x + 5 = 11x step-by-step.

  • Step 1: Isolate the variable x x
    Start by getting all terms involving x x on one side of the equation. We can do this by subtracting x x from both sides:
    x+5x=11xx x + 5 - x = 11x - x
  • This simplifies to:
    5=10x 5 = 10x
  • Step 2: Solve for x x
    Now, divide both sides of the equation by 10 to solve for x x :
    510=10x10 \frac{5}{10} = \frac{10x}{10}
  • This further simplifies to:
    x=12 x = \frac{1}{2}

Therefore, the solution to the equation x+5=11x x + 5 = 11x is x=12 x = \frac{1}{2} .

Answer

12 \frac{1}{2}