Question
Solve Other Linear Equations Practice
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Question
Solve for x
: 8x−5=3x+20
.(1 point)
Answers
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Answered by
GPT-4o mini
To solve the equation \(8x - 5 = 3x + 20\), follow these steps:
1. **Isolate the variable term**: Get all terms involving \(x\) on one side of the equation and constant terms on the other side.
Subtract \(3x\) from both sides:
\[
8x - 3x - 5 = 20
\]
This simplifies to:
\[
5x - 5 = 20
\]
2. **Move constant terms to the other side**: Add 5 to both sides to isolate the term with \(x\).
\[
5x = 20 + 5
\]
This simplifies to:
\[
5x = 25
\]
3. **Solve for \(x\)**: Divide both sides by 5.
\[
x = \frac{25}{5}
\]
This simplifies to:
\[
x = 5
\]
So, the solution is:
\[
\boxed{5}
\]
1. **Isolate the variable term**: Get all terms involving \(x\) on one side of the equation and constant terms on the other side.
Subtract \(3x\) from both sides:
\[
8x - 3x - 5 = 20
\]
This simplifies to:
\[
5x - 5 = 20
\]
2. **Move constant terms to the other side**: Add 5 to both sides to isolate the term with \(x\).
\[
5x = 20 + 5
\]
This simplifies to:
\[
5x = 25
\]
3. **Solve for \(x\)**: Divide both sides by 5.
\[
x = \frac{25}{5}
\]
This simplifies to:
\[
x = 5
\]
So, the solution is:
\[
\boxed{5}
\]
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