Solve for X: (2x-4)×(1/8) = 4 Linear Equation

Question

4=(2x4)×18 4=(2x-4)\times\frac{1}{8}

How much is X worth?

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply by the denominator to eliminate the fraction, multiply accordingly
00:10 Open parentheses properly, multiply by each factor
00:17 Arrange the equation so that only the unknown X is on one side
00:26 Collect like terms
00:29 Isolate X
00:36 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll proceed with these steps:

  • Step 1: Eliminate the fraction by multiplying both sides of the equation by 8.
  • Step 2: Simplify the resulting equation.
  • Step 3: Solve for x x .

Let's work through each step:

Step 1: Multiply both sides of the equation by 8 to eliminate the fraction:

4×8=(2x4)×18×8 4 \times 8 = (2x - 4) \times \frac{1}{8} \times 8

This simplifies to:

32=2x4 32 = 2x - 4

Step 2: Isolate 2x 2x by adding 4 to both sides:

32+4=2x 32 + 4 = 2x 36=2x 36 = 2x

Step 3: Solve for x x by dividing both sides by 2:

362=x \frac{36}{2} = x 18=x 18 = x

Therefore, the solution to the problem is: x=18 x = 18 .

Comparing this with the given choices, the correct choice is:

  • Choice 3: (18)(18)

Answer

18 18