Solve for h -2(3h-1)=5(2h-3)

$- 2 (3 h - 1) = 5 (2 h - 3)$

Step 1

Simplify $- 2 (3 h - 1)$ .

Start simplifying.

$0 + 0 - 2 (3 h - 1) = 5 (2 h - 3)$

Simplify by adding zeros.

$- 2 (3 h - 1) = 5 (2 h - 3)$

Apply the distributive property.

$- 2 (3 h) - 2 \cdot - 1 = 5 (2 h - 3)$

Multiply.

Multiply $3$ by $- 2$ .

$- 6 h - 2 \cdot - 1 = 5 (2 h - 3)$

Multiply $- 2$ by $- 1$ .

$- 6 h + 2 = 5 (2 h - 3)$

Step 2

Simplify $5 (2 h - 3)$ .

Apply the distributive property.

$- 6 h + 2 = 5 (2 h) + 5 \cdot - 3$

Multiply.

Multiply $2$ by $5$ .

$- 6 h + 2 = 10 h + 5 \cdot - 3$

Multiply $5$ by $- 3$ .

$- 6 h + 2 = 10 h - 15$

Step 3

Move all terms containing $h$ to the left side of the equation.

Subtract $10 h$ from both sides of the equation.

$- 6 h + 2 - 10 h = - 15$

Subtract $10 h$ from $- 6 h$ .

$- 16 h + 2 = - 15$

Step 4

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

Subtract $2$ from both sides of the equation.

$- 16 h = - 15 - 2$

Subtract $2$ from $- 15$ .

$- 16 h = - 17$

Step 5

Divide each term in $- 16 h = - 17$ by $- 16$ and simplify.

Divide each term in $- 16 h = - 17$ by $- 16$ .

$\frac{- 16 h}{- 16} = \frac{- 17}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 h}{- 16} = \frac{- 17}{- 16}$

Divide $h$ by $1$ .

$h = \frac{- 17}{- 16}$

Simplify the right side.

Dividing two negative values results in a positive value.

$h = \frac{17}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$h = \frac{17}{16}$

Decimal Form:

$h = 1.0625$

Mixed Number Form:

$h = 1 \frac{1}{16}$

Solve for h -2(3h-1)=5(2h-3)

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