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Answer:
x = -
, x = 
Step-by-step explanation:
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
- 3x + 16 = 18 or -(- 3x + 16) = 18
Solving
- 3x + 16 = 18 ( subtract 16 from both sides )
- 3x = 2 ( divide both sides by - 3 )
x = - 
or
-(- 3x + 16) = 18
3x - 16 = 18 ( add 16 to both sides )
3x = 34 ( divide both sides by 3 )
x = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
| - 3(-
) + 16 | = | 2 + 16 | = | 18 | = 18 ← True
| - 3(
) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True
Thus x = -
and x =
are the solutions
Answer:
x = -2.44
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:
x (-10x) = 22 + 10x (-10x)
x - 10x = 22
-9x = 22
Isolate the variable, x. Divide -9 from both sides:
(-9x)/-9 = (22)/-9
x = 22/-9
x = -(22/9)
x = -2.44 (repeating).
x = -2.44 (rounded) is your answer.
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