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2x=4x+5232x= 4x+\frac{5}{2}-3

Full solution

Q. 2x=4x+5232x= 4x+\frac{5}{2}-3
  1. Simplify the right side: First, let's simplify the right side of the equation by combining like terms.\newline4x+5234x + \frac{5}{2} - 3\newline= 4x+2.534x + 2.5 - 3\newline= 4x0.54x - 0.5
  2. Subtract 4x4x from both sides: Now, let's subtract 4x4x from both sides to get the x terms on one side.\newline2x4x=4x4x0.52x - 4x = 4x - 4x - 0.5\newline2x=0.5-2x = -0.5
  3. Divide both sides: Finally, divide both sides by 2-2 to solve for xx.\newline2x/2=0.5/2-2x / -2 = -0.5 / -2\newlinex=0.25x = 0.25