Solving the Equation 0.15-0.2x=0.3(x+3)
In this article, we will solve the equation 0.15-0.2x=0.3(x+3) step by step.
Step 1: Simplify the Right-Hand Side
First, let's simplify the right-hand side of the equation by multiplying 0.3 to (x+3):
0.3(x+3) = 0.3x + 0.9
So, the equation becomes:
0.15 - 0.2x = 0.3x + 0.9
Step 2: Combine Like Terms
Next, let's combine like terms on the left-hand side of the equation:
-0.2x + 0.15 = 0.3x + 0.9
Step 3: Isolate x
Now, let's isolate x by adding 0.2x to both sides of the equation:
0.15 = 0.5x + 0.9
Subtract 0.9 from both sides:
-0.75 = 0.5x
Divide both sides by 0.5:
x = -1.5
Therefore, the solution to the equation 0.15-0.2x=0.3(x+3) is x = -1.5.
Conclusion
In this article, we have solved the equation 0.15-0.2x=0.3(x+3) step by step. We simplified the right-hand side, combined like terms, and isolated x to find the solution x = -1.5.