Solve the Equation: (x-3) × 1/2 = 2 Step by Step

Question

2=(x3)×12 2=(x-3)\times\frac{1}{2}

How much is Xworth?

Video Solution

Solution Steps

00:00 Solve
00:03 Let's multiply by the denominator to eliminate the fraction, we'll multiply accordingly
00:14 Let's arrange the equation so that only the unknown X is on one side
00:22 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

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

Now, let's work through each step:
Step 1: Starting with the equation 2=(x3)×12 2 = (x-3) \times \frac{1}{2} , we multiply both sides by 2 to get rid of the fraction:
2×2=(x3)×12×2 2 \times 2 = (x-3) \times \frac{1}{2} \times 2

This simplifies to:
4=x3 4 = x - 3

Step 2: Next, we solve for x x by adding 3 to both sides:
4+3=x 4 + 3 = x

Therefore, x=7 x = 7 .

Therefore, the solution to the problem is x=7 x = 7 .

Answer

7 7