Which equation has x=4 as the solution

Which equation has x=4 as the solution?

The correct answer and explanation is :

To identify an equation with ( x = 4 ) as the solution, let’s first understand the concept of a solution to an equation. A solution to an equation is the value of ( x ) that makes the equation true. For example, if we have the equation:

[
2x + 3 = 11
]

We can solve for ( x ) as follows:

1. Subtract 3 from both sides:
   [
   2x = 11 – 3
   ]
   [
   2x = 8
   ]
2. Divide both sides by 2:
   [
   x = \frac{8}{2} = 4
   ]

Thus, ( x = 4 ) is the solution to the equation ( 2x + 3 = 11 ).

Explanation

To make sure that ( x = 4 ) is the solution to any given equation, we can substitute ( x = 4 ) into the equation and verify if both sides are equal. In the case of the equation ( 2x + 3 = 11 ):

Substituting ( x = 4 ):

[
2(4) + 3 = 8 + 3 = 11
]

This confirms that the equation holds true when ( x = 4 ), so ( x = 4 ) is indeed a solution.

Other equations that have ( x = 4 ) as the solution could look like:

1. ( 3x – 8 = 4 ) Solving this: Add 8 to both sides:
   [
   3x = 4 + 8 = 12
   ] Divide by 3:
   [
   x = \frac{12}{3} = 4
   ]
2. ( \frac{x}{2} + 1 = 3 ) Subtract 1 from both sides:
   [
   \frac{x}{2} = 3 – 1 = 2
   ] Multiply both sides by 2:
   [
   x = 4
   ]

In conclusion, there are many different types of equations that can have ( x = 4 ) as the solution, and solving each of these equations involves isolating ( x ) and verifying that it satisfies the equation.