Question

4/5(x+5/6)-2/3(x-1/4)=7/6

Answer 1

Answer and Step-by-step explanation:

$Hello~let's~solve~your~equation:$

Step 1: Simplify both sides of the equation:

$(\frac{4}{5}) (x)+(\frac{4}{5})(\frac{5}{6})+\frac{-2}{3}x+\frac{1}{6} =\frac{7}{6}$  $(Distribute)$

$\frac{4}{5}x+\frac{2}{3}+\frac{-2}{3}x+\frac{1}{y\6}=\frac{7}{6}$

$(\frac{5}{5}x+ \frac{-2}{3}x )+(\frac{2}{3}+ \frac{1}{6})=\frac{7}{6}$ $(Combine~like~terms)$

$\frac{2}{15}x+\frac{5}{6}=\frac{7}{6}$

Step 2: Subtract 5/6 from both sides:

$\frac{2}{15}x+\frac{5}{6}- \frac{5}{6} =\frac{7}{6} -\frac{5}{6}$

$\frac{2}{15}x=\frac{1}{3}$

Step 3: Multiply both sides by 15/2:

$(\frac{15}{2}) *(\frac{2}{15}x)=(\frac{15}{2})*(\frac{1}{3})$

$x=$ $\frac{5}{2}$