%3D0.2x%2B1.jpeg "0.3(x-2)=0.2x+1")
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.
