Question

Find the value of x please ​

Answer 1

x = 8

Explanation:

Look at the picture.

We have the equations:

`\alpha+(9x-6)+58=180\qquad(1)`

and

`\alpha+16x-4=180\qquad(2)`

From (1) and (2) we have:

`\alpha+16x-4=\alpha+9x-6+58\qquad\text{subtract}\ \alpha\ \text{from both sides}\\\\16x-4=9x+52\qquad\text{add 4 to both sides}\\\\16x=9x+56\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\7x=56\qquad\text{divide both sides by 7}\\\\x=8`