Solve for h 2/3h-1/3h+11=8

$\frac{2}{3} h - \frac{1}{3} h + 11 = 8$

Simplify $\frac{2}{3} h - \frac{1}{3} h + 11$ .

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Simplify each term.

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

$\frac{2 h}{3} - \frac{1}{3} h + 11 = 8$

Combine $h$ and $\frac{1}{3}$ .

$\frac{2 h}{3} - \frac{h}{3} + 11 = 8$

Simplify terms.

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Combine fractions with similar denominators.

$11 + \frac{2 h - h}{3} = 8$

Subtract $h$ from $2 h$ .

$11 + \frac{h}{3} = 8$

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

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Subtract $11$ from both sides of the equation.

$\frac{h}{3} = 8 - 11$

Subtract $11$ from $8$ .

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

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Cancel the common factor of $3$ .

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Cancel the common factor.

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

Rewrite the expression.

$h = 3 \cdot - 3$

Multiply $3$ by $- 3$ .

$h = - 9$

Solve for h 2/3h-1/3h+11=8

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