Question

solve the equation and check your solution.
$6 + 3t = 8t - 14$
$t = \boxed{}$
need help?

Explanation:

Step1: Isolate t terms on one side

$6 + 14 = 8t - 3t$

Step2: Simplify both sides

$20 = 5t$

Step3: Solve for t

$t = \frac{20}{5} = 4$

Step4: Verify the solution

Substitute $t=4$ into original equation:
Left side: $6 + 3(4) = 6 + 12 = 18$
Right side: $8(4) - 14 = 32 - 14 = 18$
Both sides are equal, so solution is valid.

Answer:

$t = 4$