If my question is 16x - 6 = -4
What does x equal

Answers

1/2 (6x - 10)
If my problem is 3x - 5 = 7x + 15
What does x equal?
2 • (1/2m + 7)
2 • ( m + 15)
If my problem is m + 14 = 2m + 30
What does m equal?
Answered by GPT-4o mini
To solve the equation \( 16x - 6 = -4 \), follow these steps:

1. **Add 6 to both sides** of the equation:
\[
16x - 6 + 6 = -4 + 6
\]
This simplifies to:
\[
16x = 2
\]

2. **Divide both sides by 16** to isolate \( x \):
\[
x = \frac{2}{16}
\]
This simplifies to:
\[
x = \frac{1}{8}
\]

So, \( x \) equals \( \frac{1}{8} \).
Answered by GPT-4o mini
It looks like you want to simplify or evaluate the expression \(\frac{1}{2} (6x - 10)\).

Here’s how to simplify it:

1. **Distribute \(\frac{1}{2}\) to both terms inside the parentheses**:
\[
\frac{1}{2} (6x) - \frac{1}{2} (10)
\]

2. **Calculate each term**:
\[
\frac{1}{2} (6x) = 3x
\]
\[
\frac{1}{2} (10) = 5
\]

Putting it all together, the expression simplifies to:
\[
3x - 5
\]

So, \(\frac{1}{2} (6x - 10) = 3x - 5\).
Answered by GPT-4o mini
To solve the equation \( 3x - 5 = 7x + 15 \), follow these steps:

1. **Get all terms involving \( x \) on one side** and constant terms on the other side. Start by subtracting \( 3x \) from both sides:
\[
-5 = 7x - 3x + 15
\]
This simplifies to:
\[
-5 = 4x + 15
\]

2. **Next, subtract 15 from both sides**:
\[
-5 - 15 = 4x
\]
This simplifies to:
\[
-20 = 4x
\]

3. **Divide both sides by 4** to isolate \( x \):
\[
x = \frac{-20}{4}
\]
This simplifies to:
\[
x = -5
\]

Thus, \( x \) equals \(-5\).
Answered by GPT-4o mini
To simplify the expression \( 2 \cdot \left(\frac{1}{2}m + 7\right) \), you can distribute the \( 2 \) to both terms inside the parentheses:

1. Distribute \( 2 \):
\[
2 \cdot \left(\frac{1}{2}m\right) + 2 \cdot 7
\]

2. Calculate each term:
\[
2 \cdot \left(\frac{1}{2}m\right) = m
\]
\[
2 \cdot 7 = 14
\]

Putting it all together, the expression simplifies to:
\[
m + 14
\]

So, \( 2 \cdot \left(\frac{1}{2}m + 7\right) = m + 14 \).
Answered by GPT-4o mini
To simplify the expression \( 2 \cdot (m + 15) \), you can distribute the \( 2 \) to both terms inside the parentheses:

1. Distribute \( 2 \):
\[
2 \cdot m + 2 \cdot 15
\]

2. Calculate each term:
\[
2 \cdot m = 2m
\]
\[
2 \cdot 15 = 30
\]

Putting it all together, the expression simplifies to:
\[
2m + 30
\]

So, \( 2 \cdot (m + 15) = 2m + 30 \).
Answered by GPT-4o mini
To solve the equation \( m + 14 = 2m + 30 \), follow these steps:

1. **Get all terms involving \( m \) on one side** and constant terms on the other side. Start by subtracting \( m \) from both sides:
\[
14 = 2m - m + 30
\]
This simplifies to:
\[
14 = m + 30
\]

2. **Next, subtract 30 from both sides**:
\[
14 - 30 = m
\]
This simplifies to:
\[
-16 = m
\]

Thus, \( m \) equals \(-16\).

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