Solve 5*2*1/9*(2/3)^3=x/9

$$5 \times 2 \times \frac { 1 } { 9 } \times ( \frac { 2 } { 3 } ) ^ { 3 } = \frac { x } { 9 }$$

Solve for x

$$x = \frac{80}{27} = 2\frac{26}{27} \approx 2.962962963$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$45\times 2\times \frac{1}{9}\times \left(\frac{2}{3}\right)^{3}=x$$

Multiply 45 and 2 to get 90.

$$90\times \frac{1}{9}\times \left(\frac{2}{3}\right)^{3}=x$$

Multiply 90 and \frac{1}{9} to get \frac{90}{9}.

$$\frac{90}{9}\times \left(\frac{2}{3}\right)^{3}=x$$

Divide 90 by 9 to get 10.

$$10\times \left(\frac{2}{3}\right)^{3}=x$$

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$10\times \frac{8}{27}=x$$

Express 10\times \frac{8}{27} as a single fraction.

$$\frac{10\times 8}{27}=x$$

Multiply 10 and 8 to get 80.

$$\frac{80}{27}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{80}{27}$$