Solve for h 7-h=3(2/3h+4)

$7 - h = 3 (\frac{2}{3} h + 4)$

Step 1

Simplify $3 (\frac{2}{3} h + 4)$ .

Rewrite.

$7 - h = 0 + 0 + 3 (\frac{2}{3} h + 4)$

Simplify by adding zeros.

$7 - h = 3 (\frac{2}{3} h + 4)$

Combine $\frac{2}{3}$ and $h$ .

$7 - h = 3 (\frac{2 h}{3} + 4)$

Apply the distributive property.

$7 - h = 3 \frac{2 h}{3} + 3 \cdot 4$

Cancel the common factor of $3$ .

Cancel the common factor.

$7 - h = 3 \frac{2 h}{3} + 3 \cdot 4$

Rewrite the expression.

$7 - h = 2 h + 3 \cdot 4$

Multiply $3$ by $4$ .

$7 - h = 2 h + 12$

Step 2

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

Subtract $2 h$ from both sides of the equation.

$7 - h - 2 h = 12$

Subtract $2 h$ from $- h$ .

$7 - 3 h = 12$

Step 3

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

Subtract $7$ from both sides of the equation.

$- 3 h = 12 - 7$

Subtract $7$ from $12$ .

$- 3 h = 5$

Step 4

Divide each term in $- 3 h = 5$ by $- 3$ and simplify.

Divide each term in $- 3 h = 5$ by $- 3$ .

$\frac{- 3 h}{- 3} = \frac{5}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 h}{- 3} = \frac{5}{- 3}$

Divide $h$ by $1$ .

$h = \frac{5}{- 3}$

Simplify the right side.

Move the negative in front of the fraction.

$h = - \frac{5}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$h = - \frac{5}{3}$

Decimal Form:

$h = - 1.\overline{6}$

Mixed Number Form:

$h = - 1 \frac{2}{3}$

Solve for h 7-h=3(2/3h+4)

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