Solve by Factoring 3x-2=3(x-2/3)

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

Move $3 (x - \frac{2}{3})$ to the left side of the equation by subtracting it from both sides.

$3 x - 2 - 3 (x - \frac{2}{3}) = 0$

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

Tap for more steps…

Simplify each term.

Tap for more steps…

Apply the distributive property.

$3 x - 2 - 3 x - 3 (- \frac{2}{3}) = 0$

Cancel the common factor of $3$ .

Tap for more steps…

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$3 x - 2 - 3 x - 3 (\frac{- 2}{3}) = 0$

Factor $3$ out of $- 3$ .

$3 x - 2 - 3 x + 3 (- 1) \frac{- 2}{3} = 0$

Cancel the common factor.

$3 x - 2 - 3 x + 3 \cdot - 1 \frac{- 2}{3} = 0$

Rewrite the expression.

$3 x - 2 - 3 x - 1 \cdot - 2 = 0$

Multiply $- 1$ by $- 2$ .

$3 x - 2 - 3 x + 2 = 0$

Combine the opposite terms in $3 x - 2 - 3 x + 2$ .

Tap for more steps…

Subtract $3 x$ from $3 x$ .

$0 - 2 + 2 = 0$

Subtract $2$ from $0$ .

$- 2 + 2 = 0$

Add $- 2$ and $2$ .

$0 = 0$

Simplify each term.

Tap for more steps…

Apply the distributive property.

$3 x - 2 - 3 x - 3 (- \frac{2}{3}) = 0$

Cancel the common factor of $3$ .

Tap for more steps…

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$3 x - 2 - 3 x - 3 (\frac{- 2}{3}) = 0$

Factor $3$ out of $- 3$ .

$3 x - 2 - 3 x + 3 (- 1) (\frac{- 2}{3}) = 0$

Cancel the common factor.

$3 x - 2 - 3 x + 3 \cdot (- 1 (\frac{- 2}{3})) = 0$

Rewrite the expression.

$3 x - 2 - 3 x - 1 \cdot - 2 = 0$

Multiply $- 1$ by $- 2$ .

$3 x - 2 - 3 x + 2 = 0$

Combine the opposite terms in $3 x - 2 - 3 x + 2$ .

Tap for more steps…

Subtract $3 x$ from $3 x$ .

$0 - 2 + 2 = 0$

Subtract $2$ from $0$ .

$- 2 + 2 = 0$

Add $- 2$ and $2$ .

$0 = 0$

Since $0 = 0$ , the equation will always be true.

Always true

Solve by Factoring 3x-2=3(x-2/3)

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