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5. $\frac{3}{5}x-\frac{2}{5}(x - 3)=\frac{1}{5}x + 3$

Question

  1. $\frac{3}{5}x-\frac{2}{5}(x - 3)=\frac{1}{5}x + 3$

Explanation:

Step1: Expand the left - hand side

$\frac{3}{5}x-\frac{2}{5}(x - 3)=\frac{3}{5}x-\frac{2}{5}x+\frac{6}{5}$

Step2: Combine like terms on the left - hand side

$(\frac{3}{5}x-\frac{2}{5}x)+\frac{6}{5}=\frac{1}{5}x+\frac{6}{5}$

Step3: Set up the new equation

$\frac{1}{5}x+\frac{6}{5}=\frac{1}{5}x + 3$

Step4: Subtract $\frac{1}{5}x$ from both sides

$\frac{1}{5}x-\frac{1}{5}x+\frac{6}{5}=\frac{1}{5}x-\frac{1}{5}x + 3$
$\frac{6}{5}=3$

Since $\frac{6}{5}
eq3$, there is no solution.

Answer:

No solution