Question

Solove for x 3/2+1/2x=2x

Answer 1

x = 1

Explanation:

Step 1: Subtract 2x from both sides.

• 
  `(1)/(2)x + (3)/(2) -2x = 2x - 2x`
• 
  `-(3)/(2)x + (3)/(2) = 0`

Step 2: Subtract 3/2 from both sides.

• 
  `-(3)/(2)x + (3)/(2) - (3)/(2) = 0 - (3)/(2)`
• 
  `-(3)/(2)x = -(3)/(2)`

Step 3: Multiply both sides by -2/3.

• 
  `-(3)/(2)x * -(2)/(3) = -(3)/(2) *- (2)/(3)`
• 
  `x = 1`

Step 4: Check if solution is correct.

• 
  `(3)/(2) + (1)/(2)(1) = 2(1)`
• 
  `(3)/(2) + (1)/(2) = 2`
• 
  `(4)/(2) = 2`
• 
  `2 = 2`

Therefore, x = 1.

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