Question

Having a small brain moment, can you please help and show work

Answer 1

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

$0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1$

$0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1$

$x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1$

Next you have to collect like terms :

$x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1$

$\frac{2}{3} x + \frac{41}{120} = 1$

Lastly, you can solve x :

$\frac{2}{3} x = 1 - \frac{41}{120}$

$\frac{2}{3} x = \frac{79}{120}$

$x = \frac{79}{120} \div \frac{2}{3}$

$x = \frac{79}{80}$

$x = 0.9875$