Solve 2/3x-5/6=-1/3

$$\frac { 2 } { 3 } x - \frac { 5 } { 6 } = - \frac { 1 } { 3 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Add \frac{5}{6} to both sides.

$$\frac{2}{3}x=-\frac{1}{3}+\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{1}{3} and \frac{5}{6} to fractions with denominator 6.

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

Since -\frac{2}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add -2 and 5 to get 3.

$$\frac{2}{3}x=\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

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

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{1}{2}\times \frac{3}{2}$$

Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.

$$x=\frac{3}{4}$$