Solve (x/0,3-frac{1{2}})=1/6-0,5/(1-frac{2{3})^2}

$$( \frac { x } { 0,3 - \frac { 1 } { 2 } } ) = \frac { \frac { 1 } { 6 } - 0,5 } { ( 1 - \frac { 2 } { 3 } ) ^ { 2 } }$$

Solve for x

$$x=0,6$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from 0,3 to get -\frac{1}{5}.

$$\frac{x}{-\frac{1}{5}}=\frac{\frac{1}{6}-0,5}{\left(1-\frac{2}{3}\right)^{2}}$$

Subtract 0,5 from \frac{1}{6} to get -\frac{1}{3}.

$$\frac{x}{-\frac{1}{5}}=\frac{-\frac{1}{3}}{\left(1-\frac{2}{3}\right)^{2}}$$

Subtract \frac{2}{3} from 1 to get \frac{1}{3}.

$$\frac{x}{-\frac{1}{5}}=\frac{-\frac{1}{3}}{\left(\frac{1}{3}\right)^{2}}$$

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{x}{-\frac{1}{5}}=\frac{-\frac{1}{3}}{\frac{1}{9}}$$

Divide -\frac{1}{3} by \frac{1}{9} by multiplying -\frac{1}{3} by the reciprocal of \frac{1}{9}.

$$\frac{x}{-\frac{1}{5}}=-\frac{1}{3}\times 9$$

Multiply -\frac{1}{3} and 9 to get -3.

$$\frac{x}{-\frac{1}{5}}=-3$$

Multiply both sides by -\frac{1}{5}.

$$x=-3\left(-\frac{1}{5}\right)$$

Multiply -3 and -\frac{1}{5} to get \frac{3}{5}.

$$x=\frac{3}{5}$$