Question

What is the value of x in the equation shown below? 0.25x + 13 = 4(x-8)

Answer 1

Step-by-step explanation:

To solve this first we have to eliminate the parenthesis using the distributive property in the subtraction on the right side. Also, I'll write the decimal coefficient 0.25 as a fraction 1/4:

`(1)/(4)x+13=4x-32`

Now we have to put all the x's on the same side of the equation and the numbers on the other side:

`\begin{gathered} 13+32=4x-(1)/(4)x \\ 45=(15)/(4)x \end{gathered}`

Now we divide both sides by 15 and multiply both sides by 4:

`\begin{gathered} (45)/(15)\cdot4=(15)/(4)\cdot(4)/(15)\cdot x \\ 3\cdot4=x \\ 12=x \end{gathered}`

Answer:

x = 12