Question

Solve the equation. Check your solution.

$4x+7=-113$

Short answer

The solution of equation is -30.

Step-by-step solution

Step 1. Given Information.

The given equation is $4x+7=-113$.

Step 2. Calculation.

Solve the given equation by shifting the constant from left hand side to right hand side.

$\begin{array}{c}4x+7=-113\\ 4x=-113-7\\ 4x=-120\end{array}$

Divide the equation by 4.

$\begin{array}{c}\frac{4x}{4}=\frac{-120}{4}\\ x=-30\end{array}$

Hence, the value of x after solving the equation is -30.

Step 3. Check the answer

Substitute -30 for x in the given equation

$\begin{array}{c}4\left(-30\right)+7=-113\\ -120+7=-113\\ -113=-113\end{array}$

Since left side equal to the right side. Therefor the solution of the equation is -30.