Question

solve for t.
-10 - 8t = -5t + 10 + 7
t =

Explanation:

Step1: Combine like - terms on the right - hand side

First, simplify the right - hand side of the equation $-10 - 8t=-5t + 10+7$. Combine the constant terms $10$ and $7$:
$-10 - 8t=-5t+17$

Step2: Add $8t$ to both sides

To get all the $t$ terms on one side, add $8t$ to both sides of the equation:
$-10-8t + 8t=-5t+8t + 17$
$-10 = 3t+17$

Step3: Subtract 17 from both sides

Subtract 17 from both sides to isolate the term with $t$:
$-10-17=3t+17 - 17$
$-27 = 3t$

Step4: Divide both sides by 3

Divide both sides by 3 to solve for $t$:
$\frac{-27}{3}=\frac{3t}{3}$
$t=-9$

Answer:

$-9$