|2x + 3| - 6 = 11
show all work
2 answers:
Answer:
x =7 and x=-10
Step-by-step explanation:
|2x + 3| - 6 = 11
add 6 to each side
|2x + 3| - 6+6 = 11 +6
|2x + 3| = 17
now we split into 2 equations a positive and a negative
2x+3 = 17 and 2x+3 = -17
subtract 3 from each side
2x+3-3 = 17-3 2x+3-3 = -17-3
2x = 14 2x = -20
divide by 2
2x/2 = 14/2 2x/2 = -20/2
x =7 and x=-10
Answer: x=7
Step-by-step explanation:
Step 1: Add 6 to both sides of the equation.
|2x+3|−6+6=11+6
|2x+3|=17
Step 2: Solve the absolute value.
|2x+3|=17
We know that there are two possibility's 2x+3=17 or 2x+3=−17
...
2x+3=17
2x+3−3=17−3 (Then subtract 3 from both sides of the equation)
2x=14
2x
/2
=
14
/2
Step 3. Divide both sides by 2.
Answer: x=7
Hope I could help! :)
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