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Solve for x. -3(-3x-5)-5x-5=34 Answer:

Solve for x \mathrm{x} .\newline−3(−3x−5)−5x−5=34 -3(-3 x-5)-5 x-5=34 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline−3(−3x−5)−5x−5=34 -3(-3 x-5)-5 x-5=34 \newlineAnswer:
  1. Distribute −3-3: Distribute the −3-3 into the parentheses.\newline−3(−3x−5)=−3×−3x+−3×−5-3(-3x - 5) = -3 \times -3x + -3 \times -5\newline=9x+15= 9x + 15
  2. Rewrite with distributed terms: Rewrite the equation with the distributed terms.\newline9x+15−5x−5=349x + 15 - 5x - 5 = 34
  3. Combine like terms: Combine like terms.\newline(9x−5x)+(15−5)=34(9x - 5x) + (15 - 5) = 34\newline4x+10=344x + 10 = 34
  4. Isolate x term: Subtract 1010 from both sides to isolate the term with xx.\newline4x+10−10=34−104x + 10 - 10 = 34 - 10\newline4x=244x = 24
  5. Solve for x: Divide both sides by 44 to solve for x.\newline4x4=244\frac{4x}{4} = \frac{24}{4}\newlinex=6x = 6

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