Solve 2t - 3(t + 8) = -(1 - 4t) + 10 for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

Solve 2t - 3(t + 8) = -(1 - 4t) + 10 for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

Question
Decimals
asked 2021-02-22
Solve \(2t\ -\ 3(t\ +\ 8) = -(1\ -\ 4t)\ + 10\) for t. Simplfy all fractions or round decimals to 2 places. Show all steps.

Answers (1)

2021-02-23
Step 1
The given equation is \(2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10.\)
Solve the equation as follows:
\(2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10\)
\(2t\ -\ 3t\ -\ 24 =\ -1\ +\ 4t\ +\ 10\)
\(-t\ -\ 24 = 9\ +\ 4t\)
\(-24\ -\ 9 = 4t\ +\ t\)
\(-33 = 5t\)
\(t =\ -\frac{33}{5}\)
Step 2
Now round the fraction up to two decimals.
\(t =\ -6.60\)
Step 3
Answer: The value of \(t =\ -6.60\ for\ the\ equation\ 2t\ -\ 3(t\ +\ 8) =\ -(1\ -\ 4t)\ +\ 10.\)
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