Solve [ 2x/3] - 1=[x/2] 2

Evaluate

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

Multiply the terms

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

Multiply the terms

More Steps

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

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

2 x - 3 = x \times 3

Use the commutative property to reorder the terms

2 x - 3 = 3 x

Move the variable to the left side

2 x - 3 - 3 x = 0

Subtract the terms

More Steps

- x - 3 = 0

Move the constant to the right side

- x = 0 + 3

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

- x = 3

Solution

x = - 3

Solve the equation