Solve 1/6 x/4=2-x/3

Evaluate

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

Multiply the terms

More Steps

\frac{x}{24} = 2 - \frac{x}{3}

Multiply both sides of the equation by LCD

\frac{x}{24} \times 24 = (2 - \frac{x}{3}) \times 24

Simplify the equation

x = (2 - \frac{x}{3}) \times 24

Simplify the equation

More Steps

x = 48 - 8 x

Move the variable to the left side

x + 8 x = 48

Add the terms

More Steps

9 x = 48

Divide both sides

\frac{9 x}{9} = \frac{48}{9}

Divide the numbers

x = \frac{48}{9}

Solution

x = \frac{16}{3}

Alternative Form

x = 5. \dot{3}

Solve the equation