Find the value of the variable for which the value of the expression –3(2x+1) is 20 greater than the value of the expression 8x+

Question

3 years ago

8

5

1 answer:

Charra [1.4K] · Answer 1 · 2022-02-13T18:03:44+03:00

<h3>Answer:</h3>

-2

<h3>Step-by-step explanation:</h3>

20 greater than 8x +5 is ...

... 8x +5 +20 = 8x +25

We want this value to be -3(2x +1), so we want to solve the equation ...

... 8x +25 = -3(2x +1)

... 8x +25 = -6x -3 . . . . . . eliminate parentheses

... 14x = -28 . . . . . . . . . . . add 6x-25

... x = -2 . . . . . . . . . . . . . . divide by the coefficient of x

The desired value of the variable is -2.

_____

<u>Check</u>

-3(2x+1) = -3(2(-2)+1) = -3(-3) = 9

8x+5 = 8(-2) +5 = -11

9 is 20 greater than -11, so the answer checks OK.