Solve x/6*2/3=5

$$\frac { x } { 6 } \cdot \frac { 2 } { 3 } = 5$$

Solve for x

$$x=45$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$\frac{x}{6}=5\times \frac{3}{2}$$

Express 5\times \frac{3}{2} as a single fraction.

$$\frac{x}{6}=\frac{5\times 3}{2}$$

Multiply 5 and 3 to get 15.

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

Multiply both sides by 6.

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

Express \frac{15}{2}\times 6 as a single fraction.

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

Multiply 15 and 6 to get 90.

$$x=\frac{90}{2}$$

Divide 90 by 2 to get 45.

$$x=45$$