Question

Solve. If there is more than one solution, separate them with a comma. − 9 − 8 | 2 x − 6 | = − 25

Answer 1

The solutions are 2, 4

Step-by-step explanation:
`\begin{gathered} Given: \\ -9\text{ - 8\mid2x - 6\mid= -25} \\ We\text{ need to solve for x} \end{gathered}`

collect like terms by adding 9 to both sides:

divide both sides by -8:

We are left with an absolute value function. We will get two results from it

`\begin{gathered} 2x\text{ - 6 = -2} \\ Add\text{ 6 to both sides:} \\ 2x\text{ - 6 +6 = -2+6} \\ 2x\text{ = 4} \\ \text{ } \\ divide\text{ both sides by 2:} \\ (2x)/(2)\text{ = }(4)/(2) \\ division\text{ of same signs give positive sign} \\ x\text{ = 2} \end{gathered}`

The solutions are 2, 4