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Solve for x. 4(-2x-5)+4x+5=-23 Answer:

Solve for x \mathrm{x} .\newline4(−2x−5)+4x+5=−23 4(-2 x-5)+4 x+5=-23 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline4(−2x−5)+4x+5=−23 4(-2 x-5)+4 x+5=-23 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the 44 into the terms inside the parentheses.4(−2x−5)+4x+5=−234(-2x - 5) + 4x + 5 = -23−8x−20+4x+5=−23-8x - 20 + 4x + 5 = -23
  2. Combine Like Terms: Next, combine like terms on the left side of the equation.\newline−8x+4x−20+5=−23-8x + 4x - 20 + 5 = -23\newline−4x−15=−23-4x - 15 = -23
  3. Isolate Variable Term: Now, isolate the variable term by adding 1515 to both sides of the equation.\newline−4x−15+15=−23+15-4x - 15 + 15 = -23 + 15\newline−4x=−8-4x = -8
  4. Solve for x: Finally, divide both sides by −4-4 to solve for xx.−4x−4=−8−4\frac{-4x}{-4} = \frac{-8}{-4}x=2x = 2

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