Solve 6(4.5x-12)=9

$$6(4.5x-12)=9$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Divide both sides by 6.

$$4.5x-12=\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$4.5x-12=\frac{3}{2}$$

Add 12 to both sides.

$$4.5x=\frac{3}{2}+12$$

Convert 12 to fraction \frac{24}{2}.

$$4.5x=\frac{3}{2}+\frac{24}{2}$$

Since \frac{3}{2} and \frac{24}{2} have the same denominator, add them by adding their numerators.

$$4.5x=\frac{3+24}{2}$$

Add 3 and 24 to get 27.

$$4.5x=\frac{27}{2}$$

Divide both sides by 4.5.

$$x=\frac{\frac{27}{2}}{4.5}$$

Express \frac{\frac{27}{2}}{4.5} as a single fraction.

$$x=\frac{27}{2\times 4.5}$$

Multiply 2 and 4.5 to get 9.

$$x=\frac{27}{9}$$

Divide 27 by 9 to get 3.

$$x=3$$