Solve for x 50=15-6(2x-5)

$50 = 15 - 6 (2 x - 5)$

Rewrite the equation as $15 - 6 (2 x - 5) = 50$ .

$15 - 6 (2 x - 5) = 50$

Simplify $15 - 6 (2 x - 5)$ .

Simplify each term.

Apply the distributive property.

$15 - 6 (2 x) - 6 \cdot - 5 = 50$

Multiply $2$ by $- 6$ .

$15 - 12 x - 6 \cdot - 5 = 50$

Multiply $- 6$ by $- 5$ .

$15 - 12 x + 30 = 50$

Add $15$ and $30$ .

$- 12 x + 45 = 50$

Move all terms not containing $x$ to the right side of the equation.

Subtract $45$ from both sides of the equation.

$- 12 x = 50 - 45$

Subtract $45$ from $50$ .

$- 12 x = 5$

Divide each term in $- 12 x = 5$ by $- 12$ and simplify.

Divide each term in $- 12 x = 5$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{5}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{5}{- 12}$

Divide $x$ by $1$ .

$x = \frac{5}{- 12}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{5}{12}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{12}$

Decimal Form:

$x = - 0.41\overline{6}$