Solve for x (3x)/2-x=x/6-4/3

$\frac{3 x}{2} - x = \frac{x}{6} - \frac{4}{3}$

Simplify $\frac{3 x}{2} - x$ .

Tap for more steps…

To write $- x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3 x}{2} - x \cdot \frac{2}{2} = \frac{x}{6} - \frac{4}{3}$

Simplify terms.

Tap for more steps…

Combine $- x$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

$\frac{3 x - x \cdot 2}{2} = \frac{x}{6} - \frac{4}{3}$

Simplify the numerator.

Tap for more steps…

Factor $x$ out of $3 x - x \cdot 2$ .

Tap for more steps…

Factor $x$ out of $3 x$ .

$\frac{x \cdot 3 - x \cdot 2}{2} = \frac{x}{6} - \frac{4}{3}$

Factor $x$ out of $- x \cdot 2$ .

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

Factor $x$ out of $x \cdot 3 + x (- 1 \cdot 2)$ .

$\frac{x (3 - 1 \cdot 2)}{2} = \frac{x}{6} - \frac{4}{3}$

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $3$ .

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

Multiply $x$ by $1$ .

$\frac{x}{2} = \frac{x}{6} - \frac{4}{3}$

Move all terms containing $x$ to the left side of the equation.

Tap for more steps…

Subtract $\frac{x}{6}$ from both sides of the equation.

$\frac{x}{2} - \frac{x}{6} = - \frac{4}{3}$

To write $\frac{x}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{x}{2} \cdot \frac{3}{3} - \frac{x}{6} = - \frac{4}{3}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps…

Multiply $\frac{x}{2}$ and $\frac{3}{3}$ .

$\frac{x \cdot 3}{2 \cdot 3} - \frac{x}{6} = - \frac{4}{3}$

Multiply $2$ by $3$ .

$\frac{x \cdot 3}{6} - \frac{x}{6} = - \frac{4}{3}$

Combine the numerators over the common denominator.

$\frac{x \cdot 3 - x}{6} = - \frac{4}{3}$

Simplify the numerator.

Tap for more steps…

Move $3$ to the left of $x$ .

$\frac{3 \cdot x - x}{6} = - \frac{4}{3}$

Subtract $x$ from $3 x$ .

$\frac{2 x}{6} = - \frac{4}{3}$

Cancel the common factor of $2$ and $6$ .

Tap for more steps…

Factor $2$ out of $2 x$ .

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

Cancel the common factors.

Tap for more steps…

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$x = - 4$

Solve for x (3x)/2-x=x/6-4/3

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store