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Answer :

Geniusbrainpower1go

Step-by-step explanation (Question 1):        

Step 1: (Question 1): Subtract x from both sides.

5x+3=x+13

5x+3āˆ’x=x+13āˆ’x

4x+3=13

Step 2: (Question 1): Subtract 3 from both sides.

4x+3āˆ’3=13āˆ’3

4x=10

Step 3: (Question 1): Divide both sides by 4.

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):      

Step 1: (Question 2): Multiply by LCM

15x^2 - 6 = x

Step 2: (Question 2): Solve 15x^2

15x^2 - 6 = x:

x = 2/3

x = -3/5

Step 3: (Question 2): Solve

ANSWER: x=0.666667 or x=āˆ’0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:    

1)   x = 5/2

2)  x=0.666667 or x=āˆ’0.6

 

Hope this helps.

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Itsandypandygo

Answer:

1) x = 5/2

2) x = -10

Step-by-step explanation:

1)

ā‡’ 4x = 10   [subtract x from both sides; subtract 3 from both sides]

ā‡’ x = 5/2   [divide both sides by 4]

2)

ā‡’ [tex]\frac{5}{2x} - \frac{1}{x} = \frac{1}{6}[/tex]  

ā‡’ [tex]\frac{2x}{5} - \frac{x}{1} = \frac{6}{1}[/tex]   [reciprocal function to both sides = x^-1]

ā‡’ [tex]\frac{2x}{5} - x = 6[/tex]   [simplify denominators]

ā‡’ [tex]2x - 5x = 30[/tex]   [multiply both sides by 5]

ā‡’ [tex]-3x = 30[/tex]   [collect like terms]

ā‡’ [tex]x = -10[/tex]   [divide both sides by -3]

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