Solve 2-x-102/90=x

$$2 - x - \frac { 102 } { 90 } = x$$

Solve for x

$$x=\frac{13}{30}\approx 0.433333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{102}{90} to lowest terms by extracting and canceling out 6.

$$2-x-\frac{17}{15}=x$$

Convert 2 to fraction \frac{30}{15}.

$$\frac{30}{15}-x-\frac{17}{15}=x$$

Since \frac{30}{15} and \frac{17}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-17}{15}-x=x$$

Subtract 17 from 30 to get 13.

$$\frac{13}{15}-x=x$$

Subtract x from both sides.

$$\frac{13}{15}-x-x=0$$

Combine -x and -x to get -2x.

$$\frac{13}{15}-2x=0$$

Subtract \frac{13}{15} from both sides. Anything subtracted from zero gives its negation.

$$-2x=-\frac{13}{15}$$

Divide both sides by -2.

$$x=\frac{-\frac{13}{15}}{-2}$$

Express \frac{-\frac{13}{15}}{-2} as a single fraction.

$$x=\frac{-13}{15\left(-2\right)}$$

Multiply 15 and -2 to get -30.

$$x=\frac{-13}{-30}$$

Fraction \frac{-13}{-30} can be simplified to \frac{13}{30} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{13}{30}$$