Question
Negative 3X +4 over the number two equals -13
Answers
GPT-4o mini
To solve the equation \(-\frac{3X + 4}{2} = -13\), we can follow these steps:
1. **Eliminate the denominator**: Multiply both sides of the equation by 2 to get rid of the fraction.
\[
- (3X + 4) = -26
\]
2. **Simplify the equation**: Distribute the negative sign on the left side.
\[
-3X - 4 = -26
\]
3. **Add 4 to both sides**:
\[
-3X = -26 + 4
\]
\[
-3X = -22
\]
4. **Divide by -3**:
\[
X = \frac{-22}{-3} = \frac{22}{3}
\]
So, the solution is:
\[
X = \frac{22}{3}
\]
1. **Eliminate the denominator**: Multiply both sides of the equation by 2 to get rid of the fraction.
\[
- (3X + 4) = -26
\]
2. **Simplify the equation**: Distribute the negative sign on the left side.
\[
-3X - 4 = -26
\]
3. **Add 4 to both sides**:
\[
-3X = -26 + 4
\]
\[
-3X = -22
\]
4. **Divide by -3**:
\[
X = \frac{-22}{-3} = \frac{22}{3}
\]
So, the solution is:
\[
X = \frac{22}{3}
\]