Solve the equation and check the solution.

(Type an integer number.)

Ask by Patel Clarke. in the United States

Jan 22,2025

Question

Solve the equation and check the solution. $$ 3.2 x-3=2.2 x $$ $$ x= $$ (Type an integer number.)

UpStudy AI · Accepted Answer

To solve the equation $$ 3.2x - 3 = 2.2x $$, follow these steps:

1. **Subtract $$ 2.2x $$ from both sides** to get all the $$ x $$-terms on one side:
   $$
   3.2x - 2.2x - 3 = 0
   $$
   $$
   1x - 3 = 0
   $$

2. **Add 3 to both sides** to isolate the $$ x $$-term:
   $$
   x = 3
   $$

**Solution:**
$$
x = 3
$$

**Check the Solution:**

Plug $$ x = 3 $$ back into the original equation to verify:

$$
3.2(3) - 3 = 2.2(3)
$$
$$
9.6 - 3 = 6.6
$$
$$
6.6 = 6.6 \quad \text{✓}
$$

The solution $$ x = 3 $$ is correct.

**Answer:**  
3
$$ x = 3 $$

Solve the equation and check the solution.

(Type an integer number.)