Answer:
[tex] \huge \blue{x = \frac{10}{3} } \\ [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} (4x - 3) - 2x = \frac{4}{5} - x \\ [/tex]
Multiply through by 5 to eliminate the fractions
[tex]5 \times \frac{2}{5} (4x - 3) - 2x(5) = 5 \times \frac{4}{5} - 5x \\ 2(4x - 3) - 10x = 4 - 5x \\ 8x - 6 - 10x = 4 - 5x[/tex]
Simplify the terms
[tex] - 2x - 6 = 4 - 5x \\ - 2x + 5x = 6 + 4 \\ 3x = 10[/tex]
Divide both sides by 3
We have the final answer as
[tex]x = \frac{10}{3} \\ [/tex]
Hope this helps you
