Solve 2-x-2/3=3x/2

Evaluate

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

Subtract the numbers

More Steps

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

Multiply the terms

\frac{4}{3} - x = \frac{3 x}{2}

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

8 - 6 x = \frac{3 x}{2} \times 6

Simplify the equation

More Steps

8 - 6 x = 9 x

Move the variable to the left side

8 - 6 x - 9 x = 0

Subtract the terms

More Steps

8 - 15 x = 0

Move the constant to the right side

- 15 x = 0 - 8

Removing 0 doesn't change the value,so remove it from the expression

- 15 x = - 8

Change the signs on both sides of the equation

15 x = 8

Divide both sides

\frac{15 x}{15} = \frac{8}{15}

Solution

x = \frac{8}{15}

Alternative Form

x = 0.5 \dot{3}

Solve the equation