5x + 17 = 82simplify as much as possible

Question

`5x + 17 = 82`simplify as much as possible

Answer 1

To answer this question, we can follow the next steps:

1. Subtract 17 to both sides of the equation (we apply here the subtraction property of equality):

`5x+17-17=82-17\Rightarrow5x+0=65\Rightarrow5x=65`

2. To isolate the variable, x, in the equation, we need to divide by 5 to both sides of the equation, as follows:

`(5x)/(5)=(65)/(5)\Rightarrow(5)/(5)=1\Rightarrow x=(65)/(5)\Rightarrow x=13`

We can check this result if we substitute this last value into the original equation:

`5x+17=82\Rightarrow5(13)+17=82\Rightarrow65+17=82\Rightarrow82=82`

The result is always TRUE.

Therefore, the value for the unknown value of x is x = 13.