Question

Solve each equation. Check your solution.

$x+9x-6x+4x=20$

Short answer

The required answer is $\frac{5}{2}$.

Step-by-step solution

Step 1- Simplify left side of the equation

Combine the like terms on left side the original equation.

$8x=20$

Step 2- Isolate the variable x

Perform division of 8 on both sides of the equation.

$\begin{array}{c}\frac{8x}{8}=\frac{20}{8}\\ x=\frac{5}{2}\end{array}$

– Check the obtained value 

Substitute the obtained value of x into the original equation and perform simplification for checking.

$\begin{array}{l}\frac{5}{2}+9\left(\frac{5}{2}\right)-6\left(\frac{5}{2}\right)+4\left(\frac{5}{2}\right)\stackrel{?}{=}20\\ 20=20\end{array}$

Step 4- Make the conclusion

As the checking results in equal values on both the sides on substation of obtained value which means that obtained value is correct.