Question

Solve: 1/4 (36x – 16) = 5x – 18

Answer 1

Step-by-step explanation

We must solve for x the following equation:

`(1)/(4)(36x-16)=5x-18.`

1) We multiply both sides by 4, and we get:

`\begin{gathered} 36x-16=4\cdot(5x-18), \\ 36x-16=20x-72. \end{gathered}`

2) We pass the -16 at the left side as +16 at the right side:

`\begin{gathered} 36x=20x-72+16, \\ 36x=20x-56. \end{gathered}`

3) We pass the -56 at the right side as +56 at the left side:

`\begin{gathered} 36x-20x=-56, \\ 16x=-56. \end{gathered}`

4) Finally, dividing both sides by 16, we get:

`x=-(56)/(16)=-3.5.`Answer

x = -3.5