Solve for h 2h-(6h-5)=-1

$2 h - (6 h - 5) = - 1$

Simplify $2 h - (6 h - 5)$ .

Simplify each term.

Apply the distributive property.

$2 h - (6 h) - - 5 = - 1$

Multiply $6$ by $- 1$ .

$2 h - 6 h - - 5 = - 1$

Multiply $- 1$ by $- 5$ .

$2 h - 6 h + 5 = - 1$

Subtract $6 h$ from $2 h$ .

$- 4 h + 5 = - 1$

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

Subtract $5$ from both sides of the equation.

$- 4 h = - 1 - 5$

Subtract $5$ from $- 1$ .

$- 4 h = - 6$

Divide each term in $- 4 h = - 6$ by $- 4$ and simplify.

Divide each term in $- 4 h = - 6$ by $- 4$ .

$\frac{- 4 h}{- 4} = \frac{- 6}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 h}{- 4} = \frac{- 6}{- 4}$

Divide $h$ by $1$ .

$h = \frac{- 6}{- 4}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 4$ .

Factor $- 2$ out of $- 6$ .

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

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$h = \frac{- 2 \cdot 3}{- 2 \cdot 2}$

Cancel the common factor.

$h = \frac{- 2 \cdot 3}{- 2 \cdot 2}$

Rewrite the expression.

$h = \frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$h = \frac{3}{2}$

Decimal Form:

$h = 1.5$

Mixed Number Form:

$h = 1 \frac{1}{2}$