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If 4x+5=13x+4−x−94x + 5 = 13x + 4 - x - 9, then x=?x = ?

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Q. If 4x+5=13x+4−x−94x + 5 = 13x + 4 - x - 9, then x=?x = ?
  1. Simplify Equation: First, simplify both sides of the equation by combining like terms.\newlineOn the right side, combine the xx terms: 13x−x=12x13x - x = 12x.\newlineNow the equation is 4x+5=12x+4−94x + 5 = 12x + 4 - 9.\newlineNext, combine the constant terms on the right side: 4−9=−54 - 9 = -5.\newlineThe simplified equation is 4x+5=12x−54x + 5 = 12x - 5.
  2. Move X Terms: Next, move all the x terms to one side by subtracting 4x4x from both sides of the equation.\newlineThis gives us 5=12x−4x−55 = 12x - 4x - 5.\newlineNow combine the x terms on the right side: 12x−4x=8x12x - 4x = 8x.\newlineThe equation now reads 5=8x−55 = 8x - 5.
  3. Move Constant Terms: Now, move all the constant terms to the other side by adding 55 to both sides of the equation.\newlineThis gives us 5+5=8x5 + 5 = 8x.\newlineCombine the constant terms on the left side: 5+5=105 + 5 = 10.\newlineThe equation now reads 10=8x10 = 8x.
  4. Solve for X: Finally, solve for xx by dividing both sides of the equation by 88. This gives us 108=x\frac{10}{8} = x. Simplify the fraction on the left side: 108=54\frac{10}{8} = \frac{5}{4}. So, x=54x = \frac{5}{4}.

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