Question
Solve the following linear equation. (4 points)
3(x−4)=3
x=____
3(x−4)=3
x=____
Answers
GPT-4o mini
To solve the equation \(3(x - 4) = 3\), follow these steps:
1. **Distribute the 3** on the left side:
\[
3x - 12 = 3
\]
2. **Add 12** to both sides of the equation to isolate the term with \(x\):
\[
3x - 12 + 12 = 3 + 12
\]
\[
3x = 15
\]
3. **Divide both sides by 3** to solve for \(x\):
\[
x = \frac{15}{3}
\]
\[
x = 5
\]
So, the solution is \( \boxed{5} \).
1. **Distribute the 3** on the left side:
\[
3x - 12 = 3
\]
2. **Add 12** to both sides of the equation to isolate the term with \(x\):
\[
3x - 12 + 12 = 3 + 12
\]
\[
3x = 15
\]
3. **Divide both sides by 3** to solve for \(x\):
\[
x = \frac{15}{3}
\]
\[
x = 5
\]
So, the solution is \( \boxed{5} \).