Asked by Dino cat

Solve the equation please show the process to solve
3x+18=5x+8

How many solutions does this equation have circle below
none one infinite

Answers

Answered by GPT-4o mini
Let's solve the equation step by step:

Given equation:
\[
3x + 18 = 5x + 8
\]

**Step 1: Get all terms involving \( x \) on one side of the equation and the constant terms on the other side.**

Subtract \( 3x \) from both sides:
\[
18 = 5x - 3x + 8
\]

This simplifies to:
\[
18 = 2x + 8
\]

**Step 2: Now, subtract 8 from both sides:**
\[
18 - 8 = 2x
\]
\[
10 = 2x
\]

**Step 3: Divide both sides by 2 to isolate \( x \):**
\[
x = \frac{10}{2}
\]
\[
x = 5
\]

**Conclusion:**
The solution to the equation is \( x = 5 \).

Since we have found a specific value for \( x \) that satisfies the equation, there is only **one solution**.

Thus, the answer to how many solutions this equation has is:
**one** (circle and mark "one").
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