Solve for x 2vx-2gt=6

$2 v x - 2 g t = 6$

Step 1

Add $2 g t$ to both sides of the equation.

$2 v x = 6 + 2 g t$

Step 2

Divide each term in $2 v x = 6 + 2 g t$ by $2 v$ and simplify.

Divide each term in $2 v x = 6 + 2 g t$ by $2 v$ .

$\frac{2 v x}{2 v} = \frac{6}{2 v} + \frac{2 g t}{2 v}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 v x}{2 v} = \frac{6}{2 v} + \frac{2 g t}{2 v}$

Rewrite the expression.

$\frac{v x}{v} = \frac{6}{2 v} + \frac{2 g t}{2 v}$

Cancel the common factor of $v$ .

Cancel the common factor.

$\frac{v x}{v} = \frac{6}{2 v} + \frac{2 g t}{2 v}$

Divide $x$ by $1$ .

$x = \frac{6}{2 v} + \frac{2 g t}{2 v}$

Simplify the right side.

Simplify each term.

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

Factor $2$ out of $6$ .

$x = \frac{2 \cdot 3}{2 v} + \frac{2 g t}{2 v}$

Cancel the common factors.

Factor $2$ out of $2 v$ .

$x = \frac{2 \cdot 3}{2 (v)} + \frac{2 g t}{2 v}$

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 v} + \frac{2 g t}{2 v}$

Rewrite the expression.

$x = \frac{3}{v} + \frac{2 g t}{2 v}$

Cancel the common factor of $2$ .

Cancel the common factor.

$x = \frac{3}{v} + \frac{2 g t}{2 v}$

Rewrite the expression.

$x = \frac{3}{v} + \frac{g t}{v}$