Question

How to solve 5x+5=2x+20

Answer 1

To do this you can subtract 5 from both sides of the equation

`\begin{gathered} 5x+5=2x+20 \\ 5x+5-5=2x+20-5 \\ 5x=2x+15 \end{gathered}`

Now you can subtract 2x from both sides of the equation

`\begin{gathered} 5x=2x+15 \\ 5x-2x=2x+15-2x \\ 3x=15 \end{gathered}`

Finally, you can divide by 3 both sides of the equation

`\begin{gathered} (3x)/(3)=(15)/(3) \\ x=5 \end{gathered}`

On the other hand, to check you replace the value of x found in the original expression

`\begin{gathered} 5x+5=2x+20 \\ 5(5)+5=2(5)+20 \\ 25+5=10+20 \\ 30=30 \end{gathered}`

Since a true equality is obtained, then it is true that the value of x is 5.