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-2 - 8x = 4x -2
-2 - 8x = 4x -2
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Answered by
GPT-4o mini
To solve the equation \(-2 - 8x = 4x - 2\), follow these steps:
1. **Combine like terms:**
First, let's rearrange the equation to isolate the variable terms on one side. Add \(8x\) to both sides:
\[
-2 = 4x + 8x - 2
\]
This simplifies to:
\[
-2 = 12x - 2
\]
2. **Add 2 to both sides:**
Now, we can eliminate the constant term on the right side. Add \(2\) to both sides of the equation:
\[
-2 + 2 = 12x - 2 + 2
\]
This simplifies to:
\[
0 = 12x
\]
3. **Solve for \(x\):**
To find \(x\), divide both sides by \(12\):
\[
x = 0
\]
Thus, the solution to the equation \(-2 - 8x = 4x - 2\) is:
\[
\boxed{0}
\]
1. **Combine like terms:**
First, let's rearrange the equation to isolate the variable terms on one side. Add \(8x\) to both sides:
\[
-2 = 4x + 8x - 2
\]
This simplifies to:
\[
-2 = 12x - 2
\]
2. **Add 2 to both sides:**
Now, we can eliminate the constant term on the right side. Add \(2\) to both sides of the equation:
\[
-2 + 2 = 12x - 2 + 2
\]
This simplifies to:
\[
0 = 12x
\]
3. **Solve for \(x\):**
To find \(x\), divide both sides by \(12\):
\[
x = 0
\]
Thus, the solution to the equation \(-2 - 8x = 4x - 2\) is:
\[
\boxed{0}
\]
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