Solve 8/9x+3=1/6

$$\frac{ 8 }{ 9 } x+3= \frac{ 1 }{ 6 }$$

Solve for x

$$x = -\frac{51}{16} = -3\frac{3}{16} = -3.1875$$

Steps for Solving Linear Equation

Subtract 3 from both sides.

$$\frac{8}{9}x=\frac{1}{6}-3$$

Convert 3 to fraction \frac{18}{6}.

$$\frac{8}{9}x=\frac{1}{6}-\frac{18}{6}$$

Since \frac{1}{6} and \frac{18}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8}{9}x=\frac{1-18}{6}$$

Subtract 18 from 1 to get -17.

$$\frac{8}{9}x=-\frac{17}{6}$$

Multiply both sides by \frac{9}{8}, the reciprocal of \frac{8}{9}.

$$x=-\frac{17}{6}\times \frac{9}{8}$$

Multiply -\frac{17}{6} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-17\times 9}{6\times 8}$$

Do the multiplications in the fraction \frac{-17\times 9}{6\times 8}.

$$x=\frac{-153}{48}$$

Reduce the fraction \frac{-153}{48} to lowest terms by extracting and canceling out 3.

$$x=-\frac{51}{16}$$