Answer:
[tex]x = -20[/tex]
Step-by-step explanation:
Use inverse operations and simplification to isolate the variable in the equation.
[tex]-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\[/tex]
Now divide the equation by [tex](-\frac{2}{5})[/tex] remember, dividing a fraction is the same as multiplying by the reciprocal. The reciprocal of a fraction is when one switches the places of the numerator (number on top of a fraction bar), and the denominator (number on the bottom of the fraction bar).
[tex]-\frac{2}{5}x = 8\\[/tex]
÷[tex]-\frac{2}{5}[/tex]
[tex]x = 8 * (-\frac{5}{2})[/tex]
Simplify,
[tex]x = 4 *(- 5)\\\\ x= -20[/tex]