Answer:
[tex]x = - 5.2[/tex]
Step-by-step explanation:
First, we expand the equation using the rule
[tex]x(y - z) = xy - xz[/tex]
[tex]5 \times x - 5 \times 10 = 10x + 7.5x + 15[/tex]
[tex]5x - 50 = 10x + 7.5x + 15[/tex]
[tex]5x - 50 = 17.5x + 15[/tex]
Subtract 15 from both sides:
[tex]5x - 65 = 17.5x[/tex]
Subtract 5x from both sides:
[tex] - 65 = 12.5x[/tex]
[tex]12.5x = - 65[/tex]
[tex]x = - 5.2[/tex]