Question

i dont know how to do this and there are multiple questions, so in total 4. if you dont mind being able to answer questions for a little less than a while, than please help. thank you.

Answer 1

We can do the following steps to solve the equation.

Step 1: We apply the distributive property. For this, the number outside the brackets is multiplied by everything that is inside the brackets.

Then, we have:

$\begin{gathered} \frac{5}{4}(x-\frac{8}{5})=13 \\ \frac{5}{4}\cdot x-\frac{5}{4}\cdot\frac{8}{5}=13 \\ \frac{5}{4}x-\frac{5\cdot8}{4\cdot5}=13 \\ \frac{5}{4}x-\frac{8}{4}=13 \\ \frac{5}{4}x-2=13 \end{gathered}$

Step 2: We add 2 from both sides.

$\begin{gathered} \frac{5}{4}x-2=13 \\ \frac{5}{4}x-2+2=13+2\rbrack \\ \frac{5}{4}x=15 \end{gathered}$

Step 3: We multiply by 4 from both sides.

$\begin{gathered} 4\cdot\frac{5}{4}x=15\cdot4 \\ 5x=60 \end{gathered}$

Step 4: We divide by 5 from both sides.

$\begin{gathered} \frac{5x}{5}=\frac{60}{5} \\ x=12 \end{gathered}$

Therefore, the value of x is 12.