Question

2/3(x-4)=5-1/6(x+1)​

Answer 1

Thoda pad lia karo

2/4/7"437+464

Ak46646+4698

58 ans

Answer 2

Step 1: Simplify both sides of the equation.

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

(Distribute)

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

$\frac{2}{3} x+\frac{-8}{3} =5+\frac{-1}{6}x+\frac{-1}{6}$

(Combine Like Terms)

$\frac{2}{3} x+\frac{-8}{3} =(\frac{-1}{6}x)+(5+\frac{-1}{6})$

$\frac{2}{3} x+\frac{-8}{3} =\frac{-1}{6}x+\frac{29}{6}$

Step 2: Add $\frac{1}{6} x$ to both sides.

$\frac{2}{3} x+\frac{-8}{3} +\frac{1}{6} x=\frac{-1}{6}x+\frac{29}{6}+\frac{1}{6} x$

$\frac{5}{6} x+\frac{-8}{3} = \frac{29}{6}$

Step 3: Add $\frac{8}{3}$ to both sides.

$\frac{5}{6} x+\frac{-8}{3}+\frac{8}{3} = \frac{29}{6}+\frac{8}{3}$

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

Step 4: Multiply both sides by $\frac{6}{5}$.

$\frac{6}{5}*\frac{5}{6} x = \frac{6}{5}*\frac{15}{2}$

$x=9$

∴ The answer is -: x=9