Solve 6(45x-12)=9

$$6(45x-12)=9$$

Solve for x

$$x=\frac{3}{10}=0.3$$

Steps for Solving Linear Equation

Divide both sides by 6.

$$45x-12=\frac{9}{6}$$

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

$$45x-12=\frac{3}{2}$$

Add 12 to both sides.

$$45x=\frac{3}{2}+12$$

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

$$45x=\frac{3}{2}+\frac{24}{2}$$

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

$$45x=\frac{3+24}{2}$$

Add 3 and 24 to get 27.

$$45x=\frac{27}{2}$$

Divide both sides by 45.

$$x=\frac{\frac{27}{2}}{45}$$

Express \frac{\frac{27}{2}}{45} as a single fraction.

$$x=\frac{27}{2\times 45}$$

Multiply 2 and 45 to get 90.

$$x=\frac{27}{90}$$

Reduce the fraction \frac{27}{90} to lowest terms by extracting and canceling out 9.

$$x=\frac{3}{10}$$