Berikut adalah artikel tentang persamaan 0.3(x-2) = 0.2x + 1:

## Solving the Equation 0.3(x-2) = 0.2x + 1

This article will guide you through solving the linear equation **0.3(x-2) = 0.2x + 1**.

### Step 1: Distribute

The first step is to distribute the 0.3 on the left side of the equation:

0.3(x-2) = 0.2x + 1 0.3x - 0.6 = 0.2x + 1

### Step 2: Combine Like Terms

Next, we need to combine the x terms on one side of the equation and the constant terms on the other side. Subtract 0.2x from both sides:

0.3x - 0.6 = 0.2x + 1 0.1x - 0.6 = 1

Then, add 0.6 to both sides:

0.1x - 0.6 = 1 0.1x = 1.6

### Step 3: Isolate x

Finally, to isolate x, we divide both sides by 0.1:

0.1x = 1.6 x = 16

### Solution

Therefore, the solution to the equation 0.3(x-2) = 0.2x + 1 is **x = 16**.

### Verification

We can verify our answer by plugging x = 16 back into the original equation:

0.3(16-2) = 0.2(16) + 1 0.3(14) = 3.2 + 1 4.2 = 4.2

Since both sides of the equation are equal, we have verified that x = 16 is the correct solution.