Solve 2-6/5x+1/10x-4/5=0

$$2 - \frac { 6 } { 5 } x + \frac { 1 } { 10 } x - \frac { 4 } { 5 } = 0$$

Solve for x

$$x = \frac{12}{11} = 1\frac{1}{11} \approx 1.090909091$$

Steps for Solving Linear Equation

Combine -\frac{6}{5}x and \frac{1}{10}x to get -\frac{11}{10}x.

$$2-\frac{11}{10}x-\frac{4}{5}=0$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{10}{5}-\frac{11}{10}x-\frac{4}{5}=0$$

Since \frac{10}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-4}{5}-\frac{11}{10}x=0$$

Subtract 4 from 10 to get 6.

$$\frac{6}{5}-\frac{11}{10}x=0$$

Subtract \frac{6}{5} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{11}{10}x=-\frac{6}{5}$$

Multiply both sides by -\frac{10}{11}, the reciprocal of -\frac{11}{10}.

$$x=-\frac{6}{5}\left(-\frac{10}{11}\right)$$

Multiply -\frac{6}{5} times -\frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\left(-10\right)}{5\times 11}$$

Do the multiplications in the fraction \frac{-6\left(-10\right)}{5\times 11}.

$$x=\frac{60}{55}$$

Reduce the fraction \frac{60}{55} to lowest terms by extracting and canceling out 5.

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