SOLUTION: Hi! Solve the equation 4abs( 3-x) + 3 = 15 thanks!

Question 198475: Hi!
Solve the equation 4abs( 3-x) + 3 = 15
thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Subtract 3 from both sides.

Divide both sides by 4

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 3 and it's opposite -3

Now lets focus on the first equation

Subtract 3 from both sides

Combine like terms on the right side

Divide both sides by -1 to isolate x

Divide

Now lets focus on the second equation

Subtract 3 from both sides

Combine like terms on the right side

Divide both sides by -1 to isolate x

Divide

So the solutions to are:

and

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