Solve 2x-1/3=-x/3+2

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

Solve for x

$$x=\frac{5}{33}\approx 0.151515152$$

Steps for Solving Linear Equation

Add 3 and 2 to get 5.

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

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

$$2x-\frac{1}{3}+\frac{x}{5}=0$$

Combine 2x and \frac{x}{5} to get \frac{11}{5}x.

$$\frac{11}{5}x-\frac{1}{3}=0$$

Add \frac{1}{3} to both sides. Anything plus zero gives itself.

$$\frac{11}{5}x=\frac{1}{3}$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$x=\frac{1}{3}\times \frac{5}{11}$$

Multiply \frac{1}{3} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 5}{3\times 11}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 11}.

$$x=\frac{5}{33}$$