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

00:00 Solve
00:04 Isolate the unknown X
00:21 Reduce what we can
00:36 Write division as a fraction
00:44 Factorize 10 into factors 2 and 5
00:51 Reduce what we can
00:57 And this is the solution to the 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}