Question

Solve the equation Check your solution.

$4\left(7-2t\right)=4$

Short answer

The solution of our given equation would be $t=3$.

Step-by-step solution

Step 1. Given Information.

An equation: $4\left(7-2t\right)=4$

Step 2. Calculation.

To solve our given equation, we use opposite operations as shown below:

$\begin{array}{c}4\left(7-2t\right)=4\left(\text{Givenequation}\right)\\ \frac{4\left(7-2t\right)}{4}=\frac{4}{4}\left(\text{Dividingbothsidesby4}\right)\\ 7-2t=1\\ 7-7-2t=1-7\left(\text{Subtracting7frombothsides}\right)\\ -2t=-6\\ \frac{-2t}{-2}=\frac{-6}{-2}\left(\text{Dividingbothsidesby}-2\right)\\ t=3\end{array}$

Let us verify our answer by substituting $t=3$in our original equation.

$\begin{array}{c}4\left(7-2t\right)=4\left(\text{Givenequation}\right)\\ 4\left(7-2\left(3\right)\right)=4\left(\text{Substituting}t=3\right)\\ 4\left(7-6\right)=4\\ 4\left(1\right)=4\\ 4=4\end{array}$

Since both sides of equation are equal, therefore, $t=3$is a solution of our given equation.

Step 3. Conclusion.

The solution of our given equation would be $t=3$.