0 9x-0 6(x-3)=2(0 2x-1 3)

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Jun 03, 2024

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Solving the Equation: 0.9x - 0.6(x-3) = 2(0.2x-1.3)

In this article, we will solve the equation 0.9x - 0.6(x-3) = 2(0.2x-1.3) step by step.

Simplifying the Left-Hand Side

Let's start by simplifying the left-hand side of the equation:

0.9x - 0.6(x-3) = 0.9x - 0.6x + 1.8

Combine like terms:

0.3x + 1.8 = ...

Simplifying the Right-Hand Side

Now, let's simplify the right-hand side of the equation:

2(0.2x-1.3) = 0.4x - 2.6

Equating Both Sides

Now that we have simplified both sides of the equation, we can equate them:

0.3x + 1.8 = 0.4x - 2.6

Solving for x

Move all terms to the left-hand side:

0.3x - 0.4x = -2.6 - 1.8

Combine like terms:

-0.1x = -4.4

Divide by -0.1:

x = 44

Therefore, the solution to the equation 0.9x - 0.6(x-3) = 2(0.2x-1.3) is x = 44.