Certainly! Let's solve the equation step-by-step.
### Problem
We are given the equation [tex]\( 2x = 11 \)[/tex] and we need to solve for [tex]\( x \)[/tex].
### Step-by-step solution:
#### Step 1: Understand the equation
The equation [tex]\( 2x = 11 \)[/tex] describes a multiplicative relationship where [tex]\( x \)[/tex] is being multiplied by 2 to give 11.
#### Step 2: Isolate variable [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], we need to isolate it on one side of the equation. This means we need to undo the multiplication of 2.
#### Step 3: Divide both sides by 2
In order to isolate [tex]\( x \)[/tex], we divide both sides of the equation by 2. This operation will cancel out the multiplication by 2 on the left side of the equation.
[tex]\[ 2x = 11 \][/tex]
[tex]\[ \frac{2x}{2} = \frac{11}{2} \][/tex]
#### Step 4: Simplify
When we divide 2x by 2, we get x, and when we divide 11 by 2, we get [tex]\( 5.5 \)[/tex].
[tex]\[ x = \frac{11}{2} \][/tex]
[tex]\[ x = 5.5 \][/tex]
### Conclusion
The value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( 2x = 11 \)[/tex] is [tex]\( x = 5.5 \)[/tex]. This means that when you multiply 5.5 by 2, you indeed get 11.
[tex]\[ 2 \times 5.5 = 11 \][/tex]
[tex]\[ 11 = 11 \][/tex]
The solution is correct. Therefore,
[tex]\[ x = 5.5 \][/tex]
