Solve for h -3(h-6)=5(2h+3)

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

Step 1

Simplify $- 3 (h - 6)$ .

Start simplifying.

$0 + 0 - 3 (h - 6) = 5 (2 h + 3)$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $- 3$ by $- 6$ .

$- 3 h + 18 = 5 (2 h + 3)$

Step 2

Simplify $5 (2 h + 3)$ .

Apply the distributive property.

$- 3 h + 18 = 5 (2 h) + 5 \cdot 3$

Multiply.

Multiply $2$ by $5$ .

$- 3 h + 18 = 10 h + 5 \cdot 3$

Multiply $5$ by $3$ .

$- 3 h + 18 = 10 h + 15$

Step 3

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

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

$- 3 h + 18 - 10 h = 15$

Subtract $10 h$ from $- 3 h$ .

$- 13 h + 18 = 15$

Step 4

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

Subtract $18$ from both sides of the equation.

$- 13 h = 15 - 18$

Subtract $18$ from $15$ .

$- 13 h = - 3$

Step 5

Divide each term in $- 13 h = - 3$ by $- 13$ and simplify.

Divide each term in $- 13 h = - 3$ by $- 13$ .

$\frac{- 13 h}{- 13} = \frac{- 3}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 h}{- 13} = \frac{- 3}{- 13}$

Divide $h$ by $1$ .

$h = \frac{- 3}{- 13}$

Simplify the right side.

Dividing two negative values results in a positive value.

$h = \frac{3}{13}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$h = \frac{3}{13}$

Decimal Form:

$h = 0.\overline{230769}$

Solve for h -3(h-6)=5(2h+3)

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