Asked by Hot dog hot dog hot diggity dog
1/2(8x - 6) = x - 12
What does x equal?
What does x equal?
Answers
Answered by
Hot dog hot dog hot diggity dog
4q - 8
+ 2q
+ 2q
Answered by
Hot dog hot dog hot diggity dog
-2q - 5
+ 2q
+ 2q
Answered by
Hot dog hot dog hot diggity dog
5h - 6
+ 6
+ 6
Answered by
Hot dog hot dog hot diggity dog
-5
+ 6
+ 6
Answered by
Hot dog hot dog hot diggity dog
5h = 1
What does h equal?
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
\[
\boxed{-3}
\]
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:
\[
\boxed{6q - 8}
\]
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:
\[
\boxed{-5}
\]
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:
\[
\boxed{5h}
\]
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:
\[
\boxed{1}
\]
\[
-5 + 6 = 1
\]
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
\[
\boxed{\frac{1}{5}}
\]
\[
h = \frac{1}{5}
\]
Thus, the value of \(h\) is
\[
\boxed{\frac{1}{5}}
\]
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