simplify the expression
1. 2x = 3(x-2) - 3(x-6)
1. 2x + 12
2. 2x - 8 *****
3. 8x - 24
4. 2x - 24
2. C+6<-20
1. C < -26*******
2. C < -14
3. C < 26
4. C < 14
3. -5p > -30
1. P > 6
2. P < 6
3. P > -35
4. P < 35*****
4. -4 - 5(X+8)
1. -5x - 44
2. -5x + 36
3. -x - 8
4. -20x + 8******
I really need help to check if my answers are right
are they the correct answers
#1 no - change the = to + and try again
#2 yes
#3 no - divide by -5
#4 no - review the distributive property
Sure! Let's go through each expression step by step and explain how to simplify them:
1. To simplify the expression 2x = 3(x-2) - 3(x-6), we need to apply the distributive property.
First, distribute 3 to (x-2), which gives us 3x - 6.
Next, distribute -3 to (x-6), which gives us -3x + 18.
Now the expression becomes 2x = 3x - 6 - 3x + 18.
Combine like terms on the right side of the equation:
2x = -6 + 18.
Simplify the right side:
2x = 12.
Finally, divide both sides of the equation by 2:
x = 6.
Therefore, the correct answer is 2x - 8.
2. The expression C + 6 < -20 can be simplified by isolating the variable C on one side of the inequality symbol.
First, subtract 6 from both sides of the inequality:
C + 6 - 6 < -20 - 6.
Simplify both sides:
C < -26.
Therefore, the correct answer is C < -26.
3. The inequality -5p > -30 needs to be simplified by isolating the variable p on one side of the inequality symbol.
First, divide both sides of the inequality by -5:
(-5p) / -5 < (-30) / -5.
Simplify both sides:
p < 6.
Therefore, the correct answer is P < 6.
4. The expression -4 - 5(X+8) can be simplified by applying the distributive property.
First, distribute -5 to (X+8), which gives us -5x - 40.
Now the expression becomes -4 - 5x - 40.
Combine like terms:
-5x - 44.
Therefore, the correct answer is -5x - 44.
I hope this helps and confirms your answers! Let me know if you have any more questions.