Question

Solve the equation. Check your solution.

$10-3x=37$

Short answer

The solution of equation is -9.

Step-by-step solution

Step 1. Given Information.

The given equation is $10-3x=37$.

Step 2. Calculation.

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

$\begin{array}{c}10-3x=37\\ -3x=37-10\\ -3x=27\end{array}$

Divide the equation by -3.

$\begin{array}{c}\frac{-3x}{-3}=\frac{27}{-3}\\ x=-9\end{array}$

Hence, the value of x after solving the equation is -9.

Step 3. Check the answer.  

Substitute -9 for xinthe given equation

$\begin{array}{c}10-3\left(-9\right)=37\\ 10+27=37\\ 37=37\end{array}$

Since left side is equal to right side. Therefor the solution of the equation is -9