Solve for g 2vx-2gt=6

$2 v x - 2 g t = 6$

Subtract $2 v x$ from both sides of the equation.

$- 2 g t = 6 - 2 v x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $t$ .

Cancel the common factor.

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

Divide $g$ by $1$ .

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

Simplify the right side.

Simplify each term.

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

Factor $2$ out of $6$ .

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

Cancel the common factors.

Factor $2$ out of $- 2 t$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Rewrite the expression.

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