Asked by Steff
Solve for x
-10-2x=-8
A. x=1
B. x=4
C. x=-1
D. x=9
-10-2x=-8
A. x=1
B. x=4
C. x=-1
D. x=9
Answers
Answered by
GPT-4o mini
To solve the equation \(-10 - 2x = -8\), follow these steps:
1. Add 10 to both sides:
\[
-10 - 2x + 10 = -8 + 10
\]
This simplifies to:
\[
-2x = 2
\]
2. Now, divide both sides by -2:
\[
x = \frac{2}{-2} = -1
\]
So, the solution for \(x\) is:
\[
x = -1
\]
The correct answer is **C. x = -1**.
1. Add 10 to both sides:
\[
-10 - 2x + 10 = -8 + 10
\]
This simplifies to:
\[
-2x = 2
\]
2. Now, divide both sides by -2:
\[
x = \frac{2}{-2} = -1
\]
So, the solution for \(x\) is:
\[
x = -1
\]
The correct answer is **C. x = -1**.
Answered by
GPT-4o mini
To solve the equation \(5 = 2x - 11\), follow these steps:
1. Add 11 to both sides:
\[
5 + 11 = 2x - 11 + 11
\]
This simplifies to:
\[
16 = 2x
\]
2. Now, divide both sides by 2:
\[
x = \frac{16}{2} = 8
\]
So, the solution for \(x\) is:
\[
x = 8
\]
The correct answer is **B.) x = 8**.
1. Add 11 to both sides:
\[
5 + 11 = 2x - 11 + 11
\]
This simplifies to:
\[
16 = 2x
\]
2. Now, divide both sides by 2:
\[
x = \frac{16}{2} = 8
\]
So, the solution for \(x\) is:
\[
x = 8
\]
The correct answer is **B.) x = 8**.
Answered by
GPT-4o mini
To solve the equation \(\frac{11}{4}x + 9 = 31\), follow these steps:
1. Subtract 9 from both sides:
\[
\frac{11}{4}x + 9 - 9 = 31 - 9
\]
This simplifies to:
\[
\frac{11}{4}x = 22
\]
2. Now, multiply both sides by \(\frac{4}{11}\) to isolate \(x\):
\[
x = 22 \cdot \frac{4}{11}
\]
3. Simplifying the right side:
\[
x = \frac{22 \cdot 4}{11} = \frac{88}{11} = 8
\]
So, the solution for \(x\) is:
\[
x = 8
\]
1. Subtract 9 from both sides:
\[
\frac{11}{4}x + 9 - 9 = 31 - 9
\]
This simplifies to:
\[
\frac{11}{4}x = 22
\]
2. Now, multiply both sides by \(\frac{4}{11}\) to isolate \(x\):
\[
x = 22 \cdot \frac{4}{11}
\]
3. Simplifying the right side:
\[
x = \frac{22 \cdot 4}{11} = \frac{88}{11} = 8
\]
So, the solution for \(x\) is:
\[
x = 8
\]
Answered by
GPT-4o mini
To solve the equation \(\frac{3}{7}x - 4 = -1\), follow these steps:
1. **Add 4 to both sides**:
\[
\frac{3}{7}x - 4 + 4 = -1 + 4
\]
This simplifies to:
\[
\frac{3}{7}x = 3
\]
2. **Multiply both sides by \(\frac{7}{3}\)** to isolate \(x\):
\[
x = 3 \cdot \frac{7}{3}
\]
3. **Simplifying the right side**:
\[
x = 7
\]
So, the solution for \(x\) is:
\[
x = 7
\]
1. **Add 4 to both sides**:
\[
\frac{3}{7}x - 4 + 4 = -1 + 4
\]
This simplifies to:
\[
\frac{3}{7}x = 3
\]
2. **Multiply both sides by \(\frac{7}{3}\)** to isolate \(x\):
\[
x = 3 \cdot \frac{7}{3}
\]
3. **Simplifying the right side**:
\[
x = 7
\]
So, the solution for \(x\) is:
\[
x = 7
\]
Answered by
GPT-4o mini
To solve the equation \(3 - \frac{6}{5}x = -3\), follow these steps:
1. **Subtract 3 from both sides**:
\[
3 - \frac{6}{5}x - 3 = -3 - 3
\]
This simplifies to:
\[
-\frac{6}{5}x = -6
\]
2. **Multiply both sides by \(-1\)** to get rid of the negative sign:
\[
\frac{6}{5}x = 6
\]
3. **Now, multiply both sides by the reciprocal of \(\frac{6}{5}\) which is \(\frac{5}{6}\)**:
\[
x = 6 \cdot \frac{5}{6}
\]
4. **Simplifying the right side**:
\[
x = 5
\]
So, the solution for \(x\) is:
\[
x = 5
\]
1. **Subtract 3 from both sides**:
\[
3 - \frac{6}{5}x - 3 = -3 - 3
\]
This simplifies to:
\[
-\frac{6}{5}x = -6
\]
2. **Multiply both sides by \(-1\)** to get rid of the negative sign:
\[
\frac{6}{5}x = 6
\]
3. **Now, multiply both sides by the reciprocal of \(\frac{6}{5}\) which is \(\frac{5}{6}\)**:
\[
x = 6 \cdot \frac{5}{6}
\]
4. **Simplifying the right side**:
\[
x = 5
\]
So, the solution for \(x\) is:
\[
x = 5
\]
Answered by
GPT-4o mini
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