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

00:06 Let's solve the problem together!
00:09 First, multiply by the denominator to remove the fraction. Multiply carefully!
00:16 Next, open the parentheses. Multiply each term inside.
00:23 Now, rearrange the equation so that only the unknown X is on one side.
00:32 Then, collect like terms to simplify.
00:35 Isolate X by performing the inverse operations.
00:42 And that's how we find the solution to the problem!

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