Solve the Fraction Equation: Finding X in 1/5x = 12

Question

Solve for X:

15x=12 \frac{1}{5}x=12

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:09 To eliminate the fraction, multiply by the denominator
00:15 Let's arrange the equation so that one side has only the unknown X
00:27 Simplify what we can
00:35 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will follow the steps outlined below:

  • Step 1: Recognize that 15x=12 \frac{1}{5}x = 12 gives us x x multiplied by 15 \frac{1}{5} .
  • Step 2: Multiply both sides of the equation by 5 to eliminate the fraction.
  • Step 3: Simplify the resulting equation to solve for x x .

Let's proceed step-by-step:

Step 1: We have the equation 15x=12 \frac{1}{5}x = 12 .

Step 2: To isolate x x , multiply both sides of the equation by 5:

5×15x=5×12 5 \times \frac{1}{5}x = 5 \times 12

Step 3: Simplify both sides:

  • The left side simplifies to x x because 5×15=1 5 \times \frac{1}{5} = 1 , so x x is left alone.
  • The right side becomes 60 60 , since 5×12=60 5 \times 12 = 60 .

Therefore, the value of x x is 60 60 .

Therefore, the solution to the problem is x=60 x = 60 .

Answer

60 60