Solve 12x-15(-13/33)=1

$$12x-15(- \frac{ 13 }{ 33 } )=1$$

Solve for x

$$x=-\frac{9}{22}\approx -0.409090909$$

Steps for Solving Linear Equation

Express 15\left(-\frac{13}{33}\right) as a single fraction.

$$12x-\frac{15\left(-13\right)}{33}=1$$

Multiply 15 and -13 to get -195.

$$12x-\frac{-195}{33}=1$$

Reduce the fraction \frac{-195}{33} to lowest terms by extracting and canceling out 3.

$$12x-\left(-\frac{65}{11}\right)=1$$

The opposite of -\frac{65}{11} is \frac{65}{11}.

$$12x+\frac{65}{11}=1$$

Subtract \frac{65}{11} from both sides.

$$12x=1-\frac{65}{11}$$

Convert 1 to fraction \frac{11}{11}.

$$12x=\frac{11}{11}-\frac{65}{11}$$

Since \frac{11}{11} and \frac{65}{11} have the same denominator, subtract them by subtracting their numerators.

$$12x=\frac{11-65}{11}$$

Subtract 65 from 11 to get -54.

$$12x=-\frac{54}{11}$$

Divide both sides by 12.

$$x=\frac{-\frac{54}{11}}{12}$$

Express \frac{-\frac{54}{11}}{12} as a single fraction.

$$x=\frac{-54}{11\times 12}$$

Multiply 11 and 12 to get 132.

$$x=\frac{-54}{132}$$

Reduce the fraction \frac{-54}{132} to lowest terms by extracting and canceling out 6.

$$x=-\frac{9}{22}$$