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djverab [1.8K]
3 years ago
9

2(3x+2)=2x+28 What is x?

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

<u>Step 1:  Distribute </u>

2(3x + 2) = 2x + 28

(2 * 3x) + (2 * 2) = 2x + 28

(6x) + (4) = 2x + 28

<u>Step 2:  Subtract 2x from both sides </u>

6x + 4 - 2x = 2x + 28 - 2x

4x + 4 = 28

<u>Step 3:  Subtract 4 from both sides </u>

4x + 4 - 4 = 28 - 4

4x = 24

<u>Step 4:  Divide both sides by 4 </u>

4x / 4 = 24 / 4

<em>x = 6 </em>

Answer:  x = 6

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4 years ago
LMNP is a rectangle. Find the value of x and the length of each diagonal.
Neporo4naja [7]

Solution:

<u>We know that:</u>

  • Given diagonals: LN and MP
  • LN and MP must be equal because they are diagonals of LMNP.
  • LN = 4x + 3
  • MP = 8x - 9

<em>Since LN and MP must be equation</em>, <u>equation formed:</u> 4x + 3 = 8x - 9

<em>Let's simplify the equation to find x.</em>

<u>Subtracting 4x both sides.</u>

  • 4x + 3 = 8x - 9
  • => 4x - 4x + 3 = 8x - 9 - 4x
  • => 3 = 4x - 9

<u>Add 9 both sides.</u>

  • => 3 = 4x - 9
  • => 3 + 9 = 4x - 9 + 9
  • => 12 = 4x

<u>Divide 4 both sides.</u>

  • => 12 = 4x
  • => \frac{12}{4}  = \frac{4x}{4}
  • => x = 3

<em>Now, let's find the length of each diagonal.</em>

  • LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units
  • MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units

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