Solve -6/5x+5/3=-x-2/3

$$- \frac{ 6 }{ 5 } x+ \frac{ 5 }{ 3 } =-x- \frac{ 2 }{ 3 }$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

Steps for Solving Linear Equation

Add x to both sides.

$$-\frac{6}{5}x+\frac{5}{3}+x=-\frac{2}{3}$$

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

$$-\frac{1}{5}x+\frac{5}{3}=-\frac{2}{3}$$

Subtract \frac{5}{3} from both sides.

$$-\frac{1}{5}x=-\frac{2}{3}-\frac{5}{3}$$

Since -\frac{2}{3} and \frac{5}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{5}x=\frac{-2-5}{3}$$

Subtract 5 from -2 to get -7.

$$-\frac{1}{5}x=-\frac{7}{3}$$

Multiply both sides by -5, the reciprocal of -\frac{1}{5}.

$$x=-\frac{7}{3}\left(-5\right)$$

Express -\frac{7}{3}\left(-5\right) as a single fraction.

$$x=\frac{-7\left(-5\right)}{3}$$

Multiply -7 and -5 to get 35.

$$x=\frac{35}{3}$$