Solve for t -5(t-1)+8t=9t-9

$- 5 (t - 1) + 8 t = 9 t - 9$

Simplify $- 5 (t - 1) + 8 t$ .

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Simplify each term.

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Apply the distributive property.

$- 5 t - 5 \cdot - 1 + 8 t = 9 t - 9$

Multiply $- 5$ by $- 1$ .

$- 5 t + 5 + 8 t = 9 t - 9$

Add $- 5 t$ and $8 t$ .

$3 t + 5 = 9 t - 9$

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

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Subtract $9 t$ from both sides of the equation.

$3 t + 5 - 9 t = - 9$

Subtract $9 t$ from $3 t$ .

$- 6 t + 5 = - 9$

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

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Subtract $5$ from both sides of the equation.

$- 6 t = - 9 - 5$

Subtract $5$ from $- 9$ .

$- 6 t = - 14$

Divide each term by $- 6$ and simplify.

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Divide each term in $- 6 t = - 14$ by $- 6$ .

$\frac{- 6 t}{- 6} = \frac{- 14}{- 6}$

Cancel the common factor of $- 6$ .

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Cancel the common factor.

$\frac{- 6 t}{- 6} = \frac{- 14}{- 6}$

Divide $t$ by $1$ .

$t = \frac{- 14}{- 6}$

Cancel the common factor of $- 14$ and $- 6$ .

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Factor $- 2$ out of $- 14$ .

$t = \frac{- 2 (7)}{- 6}$

Cancel the common factors.

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Factor $- 2$ out of $- 6$ .

$t = \frac{- 2 \cdot 7}{- 2 \cdot 3}$

Cancel the common factor.

$t = \frac{- 2 \cdot 7}{- 2 \cdot 3}$

Rewrite the expression.

$t = \frac{7}{3}$

The result can be shown in multiple forms.

Exact Form:

$t = \frac{7}{3}$

Decimal Form:

$t = 2.\overline{3}$

Mixed Number Form:

$t = 2 \frac{1}{3}$

Solve for t -5(t-1)+8t=9t-9

Solving MATH problems