1

Problem

Determine the solution for the equation: -2x + 4 + 8x + 13 = 17 - 9x - 12

2

Step

The given equation is

-2x + 4 + 8x + 13 = 17 - 9x - 12

3

Step

Combine like terms on each side

6x + 17 = 5 - 9x

4

Step

Move x terms to one side and constant terms to right side

6x + 9x = 5 - 17

5

Step

After simplification

15x = -12

6

Step

Slove for x value

\$x = -\cancel(12)^4 / \cancel(15)^5\$

\$-4/5\$

7

Solution

So, the solution for the equation is \$x = −4/5\$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This is incorrect because it represents the positive value of \$4/5\$​ whereas the solution is negative

Wrong \$4/5\$

10

Choice-B

This is incorrect because it represents the reciprocal of the correct solution

Wrong \$5/4\$

11

Choice-C

This is incorrect because it does not match the solution obtained from the equation

Wrong \$-5/4\$

12

Choice-D

This is correct because it match the solution

Correct \$-4/5\$

13

Step

Option

D

14

Sumup

Please Summarize Choices