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

Sagot :

Renkneeidn

Answer:

x = 1

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

  • [tex]\frac{1}{2}x + \frac{3}{2} -2x = 2x - 2x[/tex]
  • [tex]-\frac{3}{2}x + \frac{3}{2} = 0[/tex]

Step 2: Subtract 3/2 from both sides.

  • [tex]-\frac{3}{2}x + \frac{3}{2} - \frac{3}{2} = 0 - \frac{3}{2}[/tex]
  • [tex]-\frac{3}{2}x = -\frac{3}{2}[/tex]

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

  • [tex]-\frac{3}{2}x * -\frac{2}{3} = -\frac{3}{2} *- \frac{2}{3}[/tex]
  • [tex]x = 1[/tex]

Step 4: Check if solution is correct.

  • [tex]\frac{3}{2} + \frac{1}{2}(1) = 2(1)[/tex]
  • [tex]\frac{3}{2} + \frac{1}{2} = 2[/tex]
  • [tex]\frac{4}{2} = 2[/tex]
  • [tex]2 = 2[/tex]

Therefore, x = 1.

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