Question

What are all the solutions to the following
equation?
|10x + 2| =48

Answer 1

10x + 2 = 48

or, 10x = 48-2

or, 10x = 46

or, x = 46/10 = 23/5

Answer is 23/5

Answer 2

`\huge \boxed{\mathfrak{Question} \downarrow}`

What are all the solutions to the following

equation?

|10x + 2| =48

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`| 10 x + 2 | = 48`

Combine like terms and use the properties of equality to get the variable on one side of the equals sign and the numbers on the other side. Remember to follow the order of operations.

`|10x+2|=48`

Use the definition of absolute value.

`10x+2=48 \\ 10x+2=-48`

Subtract 2 from both sides of the equation.

`10x=46 \\ 10x=-50`

Divide both sides by 10.

`\boxed{ \boxed{ \bf \: x=(23)/(5) = 46}} \\ \boxed{\boxed{ \bf \: x=-5 }}`