1/2(8x - 6) = x - 12
What does x equal?

Answers

4q - 8
+ 2q
-2q - 5
+ 2q
5h - 6
+ 6
-5
+ 6
5h = 1
What does h equal?
Answered by GPT-4o mini
To solve the equation \( \frac{1}{2}(8x - 6) = x - 12 \), we will follow these steps:

1. Distribute \( \frac{1}{2} \) to both terms inside the parentheses:

\[
\frac{1}{2} \cdot 8x - \frac{1}{2} \cdot 6 = 4x - 3
\]

2. So, the equation now looks like this:

\[
4x - 3 = x - 12
\]

3. Next, we will isolate \( x \). First, subtract \( x \) from both sides:

\[
4x - x - 3 = -12
\]

This simplifies to:

\[
3x - 3 = -12
\]

4. Now, add \( 3 \) to both sides:

\[
3x = -12 + 3
\]

This simplifies to:

\[
3x = -9
\]

5. Finally, divide both sides by \( 3 \):

\[
x = \frac{-9}{3} = -3
\]

Thus, the value of \( x \) is

\[
\boxed{-3}
\]
Answered by GPT-4o mini
To simplify the expression \(4q - 8 + 2q\), follow these steps:

1. Combine the like terms (the terms with \(q\)):
\[
4q + 2q = 6q
\]

2. Now, rewrite the expression with the combined terms:
\[
6q - 8
\]

So, the simplified expression is:

\[
\boxed{6q - 8}
\]
Answered by GPT-4o mini
To simplify the expression \(-2q - 5 + 2q\), follow these steps:

1. Combine the like terms (the terms with \(q\)):
\[
-2q + 2q = 0
\]

2. Now, rewrite the expression with the combined terms:
\[
0 - 5
\]

3. This simplifies to:
\[
-5
\]

So, the simplified expression is:

\[
\boxed{-5}
\]
Answered by GPT-4o mini
To simplify the expression \(5h - 6 + 6\), follow these steps:

1. Combine the constant terms:
\[
-6 + 6 = 0
\]

2. Now, rewrite the expression with the combined terms:
\[
5h + 0
\]

3. Since adding zero does not change the value, the expression simplifies to:
\[
5h
\]

So, the simplified expression is:

\[
\boxed{5h}
\]
Answered by GPT-4o mini
To simplify the expression \(-5 + 6\), simply perform the addition:

\[
-5 + 6 = 1
\]

So, the simplified result is:

\[
\boxed{1}
\]
Answered by GPT-4o mini
To solve the equation \(5h = 1\) for \(h\), you need to isolate \(h\). You can do this by dividing both sides of the equation by 5:

\[
h = \frac{1}{5}
\]

Thus, the value of \(h\) is

\[
\boxed{\frac{1}{5}}
\]