Solve 2/3(x-6)=9

$$\frac { 2 } { 3 } ( x - 6 ) = 9$$

Solve for x

$$x = \frac{39}{2} = 19\frac{1}{2} = 19.5$$

Steps for Solving Linear Equation

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

$$x-6=9\times \frac{3}{2}$$

Express 9\times \frac{3}{2} as a single fraction.

$$x-6=\frac{9\times 3}{2}$$

Multiply 9 and 3 to get 27.

$$x-6=\frac{27}{2}$$

Add 6 to both sides.

$$x=\frac{27}{2}+6$$

Convert 6 to fraction \frac{12}{2}.

$$x=\frac{27}{2}+\frac{12}{2}$$

Since \frac{27}{2} and \frac{12}{2} have the same denominator, add them by adding their numerators.

$$x=\frac{27+12}{2}$$

Add 27 and 12 to get 39.

$$x=\frac{39}{2}$$