Solve \dfrac{3x - 2}{3x 1} = \dfrac{1}{3}

Evaluate

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

Simplify

More Steps

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

Use the commutative property to reorder the terms

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

Rewrite the expression

\frac{d ( 3 x - 2 )}{3 x} = \frac{d}{3}

Cross multiply

d (3 x - 2) \times 3 = 3 x d

Simplify the equation

3 d (3 x - 2) = 3 x d

Simplify the equation

3 d (3 x - 2) = 3 d x

Evaluate

3 x - 2 = x

Move the variable to the left side

3 x - 2 - x = 0

Subtract the terms

More Steps

2 x - 2 = 0

Move the constant to the right side

2 x = 0 + 2

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

2 x = 2

Divide both sides

\frac{2 x}{2} = \frac{2}{2}

Divide the numbers

x = \frac{2}{2}

Divide the numbers

More Steps

x = 1

Check if the solution is in the defined range

x = 1, x \neq = 0

Solution

x = 1

Solve the equation