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Solve for x. -2(5x-2)-5x-5=-46 Answer:

Solve for x \mathrm{x} .\newline−2(5x−2)−5x−5=−46 -2(5 x-2)-5 x-5=-46 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline−2(5x−2)−5x−5=−46 -2(5 x-2)-5 x-5=-46 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the −2-2 into the parentheses.−2×5x+−2×−2−5x−5=−46-2 \times 5x + -2 \times -2 - 5x - 5 = -46−10x+4−5x−5=−46-10x + 4 - 5x - 5 = -46
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline−10x−5x+4−5=−46-10x - 5x + 4 - 5 = -46\newline−15x−1=−46-15x - 1 = -46
  3. Isolate Variable Term: Add 11 to both sides to isolate the term with the variable xx.\newline−15x−1+1=−46+1-15x - 1 + 1 = -46 + 1\newline−15x=−45-15x = -45
  4. Solve for x: Divide both sides by −15-15 to solve for x.\newline−15x/−15=−45/−15-15x / -15 = -45 / -15\newlinex=3x = 3

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