Question

What value of x makes this equation true? 0.5x-2=0.2x+7

Answer 1

Step-by-step explanation:

To find x first we have to put all terms that contain x together:

`0.5x-2=0.2x+7`

Substract 0.2x from both sides:

`\begin{gathered} 0.5x-0.2x-2=0.2x-0.2x+7 \\ 0.3x-2=7 \end{gathered}`

Add 2 on both sides:

`\begin{gathered} 0.3x-2+2=7+2 \\ 0.3x=9 \end{gathered}`

Divide both sides by 0.3:

`\begin{gathered} (0.3x)/(0.3)=(9)/(0.3) \\ x=30 \end{gathered}`

Answer:

x = 30