0.15-0.2x=0.3(x+3)

2 min read Jul 06, 2024
0.15-0.2x=0.3(x+3)

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.