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Solve for x .
1). 72= x-(-23)
2). -5x-(7-4x)=9
3). 8x+6=3(4-x)
4). 1/2(4x-16)=-2

Respuesta :

Answer: See below.

Step-by-step explanation:

1) x=49

2) x=-16

3) x=6/11

4) x=3

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semsee45

Answer:

1)  x = 49

2)  x = -16

3)  x = ⁶/₁₁

4)  x = 3

Step-by-step explanation:

Question 1

72 = x - (-23)

Apply rule -(-a) = a :

⇒ 72 = x + 23

Subtract 23 from both sides:

⇒ 72 - 23 = x + 23 - 23

⇒ 49 = x

⇒ x = 49

Question 2

-5x - (7 - 4x) = 9

Apply rule -(a - b) = -a + b :

⇒ -5x - 7 + 4x = 9

Collect and combine like terms:

⇒ -5x + 4x - 7 = 9

⇒ -x - 7 = 9

Add 7 to both sides:

⇒ -x - 7 + 7 = 9 + 7

⇒ -x = 16

Divide both sides by -1:

⇒ -x ÷ -1 = 16 ÷ -1

⇒ x = -16

Question 3

8x + 6 = 3(4 - x)

Distribute:

⇒ 8x + 6 = 12 - 3x

Add 3x to both sides:

⇒ 8x + 6 + 3x = 12 - 3x + 3x

⇒ 11x + 6 = 12

Subtract 6 from both sides:

⇒ 11x + 6 - 6 = 12 - 6

⇒ 11x = 6

Divide both sides by 11:

⇒ 11x ÷ 11 = 6 ÷ 11

⇒ x = ⁶/₁₁

Question 4

¹/₂(4x - 16) = -2

Distribute:

⇒ 2x - 8 = -2

Add 8 to both sides:

⇒ 2x - 8 + 8 = -2 + 8

⇒ 2x = 6

Divide both sides by 2:

⇒ 2x ÷ 2 = 6 ÷ 2

⇒ x = 3

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