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Solve the following equation for x. Express your answer in the simplest form. -(-4x-5)=4x+4

Solve the following equation for x x . Express your answer in the simplest form.\newline−(−4x−5)=4x+4 -(-4 x-5)=4 x+4 \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline−(−4x−5)=4x+4 -(-4 x-5)=4 x+4 \newline
  1. Distribute negative sign: Remove the negative sign in front of the parentheses by distributing it to both terms inside the parentheses. This changes the signs of the terms inside.−(−4x)−(−5)=4x+5-(-4x) - (-5) = 4x + 5
  2. Simplify equation: Simplify the equation by removing the double negatives. \newline4x+5=4x+44x + 5 = 4x + 4
  3. Subtract 4x4x: Subtract 4x4x from both sides of the equation to get the x terms on one side and the constants on the other side.4x+5−4x=4x+4−4x4x + 5 - 4x = 4x + 4 - 4x
  4. Combine like terms: Simplify both sides of the equation by combining like terms. 0x+5=0x+40x + 5 = 0x + 4
  5. Cancel xx terms: Since the xx terms cancel out, we are left with the constants.5=45 = 4

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