Answer:
The value if x is 0.9875.
Step-by-step explanation:
First, we have to get rid of brackets by expanding :
[tex]0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1[/tex]
[tex]0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1[/tex]
[tex]x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1[/tex]
Next you have to collect like terms :
[tex]x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1[/tex]
[tex] \frac{2}{3} x + \frac{41}{120} = 1[/tex]
Lastly, you can solve x :
[tex] \frac{2}{3} x = 1 - \frac{41}{120} [/tex]
[tex] \frac{2}{3} x = \frac{79}{120} [/tex]
[tex]x = \frac{79}{120} \div \frac{2}{3} [/tex]
[tex]x = \frac{79}{80} [/tex]
[tex] x = 0.9875[/tex]
