Question

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

Answer 1

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:

$\frac{1}{4}x+13=4x-32$

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

$\begin{gathered} 13+32=4x-\frac{1}{4}x \\ 45=\frac{15}{4}x \end{gathered}$

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

$\begin{gathered} \frac{45}{15}\cdot4=\frac{15}{4}\cdot\frac{4}{15}\cdot x \\ 3\cdot4=x \\ 12=x \end{gathered}$

Answer:

x = 12