Solve x=3(x-3)/2

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

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-3.

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

Divide each term of 3x-9 by 2 to get \frac{3}{2}x-\frac{9}{2}.

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

Subtract \frac{3}{2}x from both sides.

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

Combine x and -\frac{3}{2}x to get -\frac{1}{2}x.

$$-\frac{1}{2}x=-\frac{9}{2}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$x=-\frac{9}{2}\left(-2\right)$$

Express -\frac{9}{2}\left(-2\right) as a single fraction.

$$x=\frac{-9\left(-2\right)}{2}$$

Multiply -9 and -2 to get 18.

$$x=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$x=9$$