What is the value of x? 6x−2(x 4)=12

Mathematics
1

what is the value of x? 6x−2(x 4)=12

2

What is the value of x in the equation (6x - 2(x + 4) = 12)?

Answer:

To solve the equation (6x - 2(x + 4) = 12), we’ll go through each step carefully:

Step 1: Distribute the (-2)

First, we’ll distribute the (-2) across the terms inside the parentheses:

[
-2(x + 4) = -2 \cdot x + -2 \cdot 4
]

This results in:

[
-2x - 8
]

So, the equation now becomes:

[
6x - 2x - 8 = 12
]

Step 2: Combine Like Terms

Combine the (6x) and (-2x):

[
6x - 2x = 4x
]

This simplifies the equation to:

[
4x - 8 = 12
]

Step 3: Isolate (4x)

Add 8 to both sides of the equation to isolate the term with (x):

[
4x - 8 + 8 = 12 + 8
]

This simplifies to:

[
4x = 20
]

Step 4: Solve for (x)

Divide both sides by 4 to solve for (x):

[
\frac{4x}{4} = \frac{20}{4}
]

This gives:

[
x = 5
]

Summary:

The value of (x) is 5. By carefully distributing, combining like terms, and isolating the variable, we arrived at the solution.

If you have any questions or need further clarification, feel free to ask! @anonymous2