Question

Simplify1)5x+3=x+132)5/2x-1/X =1/6​

Answer 1

Step-by-step explanation (Question 1):        

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

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

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

4x+3−3=13−3

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=−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=−0.6

 

Hope this helps.

Answer 2

Answer:

1) x = 5/2

2) x = -10

Step-by-step explanation:

1)

⇒ 4x = 10   [subtract x from both sides; subtract 3 from both sides]

⇒ x = 5/2   [divide both sides by 4]

2)

⇒ $\frac{5}{2x} - \frac{1}{x} = \frac{1}{6}$  

⇒ $\frac{2x}{5} - \frac{x}{1} = \frac{6}{1}$   [reciprocal function to both sides = x^-1]

⇒ $\frac{2x}{5} - x = 6$   [simplify denominators]

⇒ $2x - 5x = 30$   [multiply both sides by 5]

⇒ $-3x = 30$   [collect like terms]

⇒ $x = -10$   [divide both sides by -3]