Answer:
x = 35
Step-by-step explanation:
[tex]\frac{2}{5} x + 15 = x - 6[/tex]
First multiply through by 5 to eliminate the fraction
That's
[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]
Next using the subtraction property subtract 5x from both sides
That's
[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]
Next subtract 75 from both sides
[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]
We have the final answer as
x = 35
Hope this helps you
