Solve for h 3(4h-1)=-4(3h-5)

$3 (4 h - 1) = - 4 (3 h - 5)$

Simplify $3 (4 h - 1)$ .

Start simplifying.

$0 + 0 + 3 (4 h - 1) = - 4 (3 h - 5)$

Simplify by adding zeros.

$3 (4 h - 1) = - 4 (3 h - 5)$

Apply the distributive property.

$3 (4 h) + 3 \cdot - 1 = - 4 (3 h - 5)$

Multiply.

Multiply $4$ by $3$ .

$12 h + 3 \cdot - 1 = - 4 (3 h - 5)$

Multiply $3$ by $- 1$ .

$12 h - 3 = - 4 (3 h - 5)$

Simplify $- 4 (3 h - 5)$ .

Apply the distributive property.

$12 h - 3 = - 4 (3 h) - 4 \cdot - 5$

Multiply.

Multiply $3$ by $- 4$ .

$12 h - 3 = - 12 h - 4 \cdot - 5$

Multiply $- 4$ by $- 5$ .

$12 h - 3 = - 12 h + 20$

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

Add $12 h$ to both sides of the equation.

$12 h - 3 + 12 h = 20$

Add $12 h$ and $12 h$ .

$24 h - 3 = 20$

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

Add $3$ to both sides of the equation.

$24 h = 20 + 3$

Add $20$ and $3$ .

$24 h = 23$

Divide each term in $24 h = 23$ by $24$ and simplify.

Divide each term in $24 h = 23$ by $24$ .

$\frac{24 h}{24} = \frac{23}{24}$

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{24 h}{24} = \frac{23}{24}$

Divide $h$ by $1$ .

$h = \frac{23}{24}$

The result can be shown in multiple forms.

Exact Form:

$h = \frac{23}{24}$

Decimal Form:

$h = 0.958\overline{3}$