Solve 2x-5div3=3x+2div5(-1)

$$2x-5 \div 3=3x+2 \div 5(-1)$$

Solve for x

$$x = -\frac{19}{15} = -1\frac{4}{15} \approx -1.266666667$$

Steps for Solving Linear Equation

Multiply \frac{2}{5} and -1 to get -\frac{2}{5}.

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

Subtract 3x from both sides.

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

Combine 2x and -3x to get -x.

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

Add \frac{5}{3} to both sides.

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

Least common multiple of 5 and 3 is 15. Convert -\frac{2}{5} and \frac{5}{3} to fractions with denominator 15.

$$-x=-\frac{6}{15}+\frac{25}{15}$$

Since -\frac{6}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$-x=\frac{-6+25}{15}$$

Add -6 and 25 to get 19.

$$-x=\frac{19}{15}$$

Multiply both sides by -1.

$$x=-\frac{19}{15}$$