Solve for t -5t-3+2t=24

$- 5 t - 3 + 2 t = 24$

Add $- 5 t$ and $2 t$ .

$- 3 t - 3 = 24$

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

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Add $3$ to both sides of the equation.

$- 3 t = 24 + 3$

Add $24$ and $3$ .

$- 3 t = 27$

Divide each term by $- 3$ and simplify.

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Divide each term in $- 3 t = 27$ by $- 3$ .

$\frac{- 3 t}{- 3} = \frac{27}{- 3}$

Cancel the common factor of $- 3$ .

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Cancel the common factor.

$\frac{- 3 t}{- 3} = \frac{27}{- 3}$

Divide $t$ by $1$ .

$t = \frac{27}{- 3}$

Divide $27$ by $- 3$ .

$t = - 9$

Solve for t -5t-3+2t=24

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