Solve 6x+1/3+1=x-3/6

Evaluate

6 x + \frac{1}{3} + 1 = x - \frac{3}{6}

Add the numbers

More Steps

6 x + \frac{4}{3} = x - \frac{3}{6}

Cancel out the common factor 3

6 x + \frac{4}{3} = x - \frac{1}{2}

Multiply both sides of the equation by LCM

(6 x + \frac{4}{3}) \times 6 = (x - \frac{1}{2}) \times 6

Calculate

More Steps

36 x + 8 = (x - \frac{1}{2}) \times 6

Calculate

More Steps

36 x + 8 = 6 x - 3

Move the expression to the left side

36 x + 8 - 6 x = - 3

Move the expression to the right side

36 x - 6 x = - 3 - 8

Add and subtract

More Steps

30 x = - 3 - 8

Add and subtract

30 x = - 11

Divide both sides

\frac{30 x}{30} = \frac{- 11}{30}

Divide the numbers

x = \frac{- 11}{30}

Solution

x = - \frac{11}{30}

Alternative Form

x = - 0.3 \dot{6}

Solve the equation