I need helppp D:
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Simplify the expression
-4-5(x+8)
*-5x-44
*-5x+36
*-x-8
*-20x+8
5x+6(x-2)-8(x-3)
*19x+36
*19x+12
*3x-36
*3x-12
x+8<-28
*x<-36
*x<-20
*x<20
*x<36
4 - 5 ( x + 8 ) =
4 - 5 ∙ x - 5 ∙ 8 =
4 - 5 x - 40 =
- 5 x - 36
5 x + 6 ( x - 2 ) - 8 ( x - 3 ) =
5 x + 6 ∙ x + 6 ∙ ( - 2 ) - 8 ∙ x - 8 ∙ ( - 3 ) =
5 x + 6 x - 12 - 8 x + 24 =
3 x + 12
x + 8 < - 28
x + 8 - 8 < - 28 - 8
x < - 36
To simplify the expression -4-5(x+8):
1. Distribute the -5 to both terms inside the parentheses:
-4-5x-40
2. Combine like terms:
-44-5x
Therefore, the simplified expression is *-5x-44.
Next, let's simplify the expression 5x+6(x-2)-8(x-3):
1. Distribute the 6 and the -8 to their respective terms inside the parentheses:
5x+6x-12-8x+24
2. Combine like terms:
3x+12
Therefore, the simplified expression is *3x+12.
Lastly, let's solve the inequality x+8<-28:
1. Subtract 8 from both sides of the inequality:
x<-36
Therefore, the solution to the inequality is *x<-36.
To simplify the expressions, we can follow the order of operations (PEMDAS/BODMAS) which states that we need to first simplify any expressions inside parentheses or brackets, then perform any multiplication or division from left to right, and finally perform any addition or subtraction from left to right. Let's go through each expression one by one.
1. Simplify the expression -4 - 5(x + 8):
-4 - 5(x + 8) = -4 - 5x - 40 = -44 - 5x
Therefore, the answer is -5x - 44.
2. Simplify the expression 5x + 6(x - 2) - 8(x - 3):
We use the distributive property in this expression.
5x + 6(x - 2) - 8(x - 3) = 5x + 6x - 12 - 8x + 24
Combining like terms: 5x + 6x - 8x + 6 - 12 + 24 = 3x + 18
Therefore, the answer is 3x - 18.
3. Solve the inequality x + 8 < -28:
To solve this inequality, we need to isolate the variable x.
Subtracting 8 from both sides: x + 8 - 8 < -28 - 8
Simplifying: x < -36
Therefore, the answer is x < -36.
Hope this helps! Let me know if you have any further questions.