Answer:
x = 3
Step-by-step explanation:
Distribute the 3 to (x + 5) and -3 to (2x + 4), which gives you the equation, -3x -15 = 6 - 6x - 12. Next, you need to add the like terms, which are 6 and -12. Adding them together gets you -6, so the equation is -3x -15 = -6 - 6x. Then add the -3x to both sides and the equation becomes, -15 = -6 - 3x. Then add 6 to both sides, which gives you -9 = -3x, and divide -9 by -3 and the answer is 3.
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Answer:
20 different strings
Step-by-step explanation:
Let the lines in the alphabets be the strings. So, each alphabet has many strings. Counting them would make them 20 strings.
1/√6 - √11 + √5
LCM = √6
(1 - (√6)*(√11) + (√5)*(√6) ) / √6
(1 - √(6*11) + √(5*6) )/ √6
Rationalize the surd by multiplying top and bottom by √6
((1 - √(6*11) + √(5*6) )/ √6) * (√6/√6)
(√6 - √(6*6*11) + √(5*6*6)) / √6
(√6 - 6√(11) + 6√(5)) / 6
So answer is:
(√6 - 6√11 + 6√5) / 6