Solve 3x-2(-23/13)=1

$$3 x - 2 ( - \frac { 23 } { 13 } ) = 1$$

Solve for x

$$x=-\frac{11}{13}\approx -0.846153846$$

Steps for Solving Linear Equation

Express 2\left(-\frac{23}{13}\right) as a single fraction.

$$3x-\frac{2\left(-23\right)}{13}=1$$

Multiply 2 and -23 to get -46.

$$3x-\frac{-46}{13}=1$$

Fraction \frac{-46}{13} can be rewritten as -\frac{46}{13} by extracting the negative sign.

$$3x-\left(-\frac{46}{13}\right)=1$$

The opposite of -\frac{46}{13} is \frac{46}{13}.

$$3x+\frac{46}{13}=1$$

Subtract \frac{46}{13} from both sides.

$$3x=1-\frac{46}{13}$$

Convert 1 to fraction \frac{13}{13}.

$$3x=\frac{13}{13}-\frac{46}{13}$$

Since \frac{13}{13} and \frac{46}{13} have the same denominator, subtract them by subtracting their numerators.

$$3x=\frac{13-46}{13}$$

Subtract 46 from 13 to get -33.

$$3x=-\frac{33}{13}$$

Divide both sides by 3.

$$x=\frac{-\frac{33}{13}}{3}$$

Express \frac{-\frac{33}{13}}{3} as a single fraction.

$$x=\frac{-33}{13\times 3}$$

Multiply 13 and 3 to get 39.

$$x=\frac{-33}{39}$$

Reduce the fraction \frac{-33}{39} to lowest terms by extracting and canceling out 3.

$$x=-\frac{11}{13}$$