Answer:
x=-75/46
Step-by-step explanation:
[tex]10 - 5 + \frac{x}{3} - 8x + \frac{5}{2} = 20[/tex]
The LCM of the denominator is 6 because both 2 and 3 can go into 6.
[tex]10 - 5 + \frac{2x}{6} - 8x + \frac{15}{6} = 20[/tex]
Multiply all terms by 6 to drop the fraction. Make sure to multiply both sides of the equation
[tex]60 - 30 + 2x - 48x + 15 = 120[/tex]
Put all x values on one side
[tex]2x - 48x = 120 - 60 + 30 - 15[/tex]
[tex] - 46x = 75[/tex]
[tex]x = - \frac{75}{46} [/tex]
