Q.229 - Elementary Algebra

Question

Solve the equation $10x+14=2x+38$ explaining all the steps of your solution as in the examples in this section. 

Step-by-Step Solution

Answer

The solution for the given equation is $x=3$

Step 1. Given informaiton

The Given equation is $10x+14=2x+38$

We have to solve the given equation as solved in the example.

Step 2. Explanation

$\begin{array}{l}\Rightarrow 10x+14=2x+38\\ \Rightarrow 10x-2x+14=2x-2x+38\text{ (Subtract 2x from both the sides)}\\ \Rightarrow 8x+14=38\text{ (Simplify)}\\ \Rightarrow 8x+14-14=38-14\text{ (Subtract 14 from both the sides)}\\ \Rightarrow 8x=24\text{ (Simplify)}\\ \Rightarrow \frac{8x}{8}=\frac{24}{8}\text{ (Divide both sides by 8)}\\ \Rightarrow x=3\text{ (Simplify)}\end{array}$