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Solve for x. -5(3x+4)+5x-2=8 Answer:

Solve for x \mathrm{x} .\newline−5(3x+4)+5x−2=8 -5(3 x+4)+5 x-2=8 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline−5(3x+4)+5x−2=8 -5(3 x+4)+5 x-2=8 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the −5-5 into the parentheses.\newline−5×3x+(−5)×4+5x−2=8-5 \times 3x + (-5) \times 4 + 5x - 2 = 8\newline−15x−20+5x−2=8-15x - 20 + 5x - 2 = 8
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline(−15x+5x)−20−2=8(-15x + 5x) - 20 - 2 = 8\newline−10x−22=8-10x - 22 = 8
  3. Isolate Variable Term: Add 2222 to both sides to isolate the term with the variable xx.\newline−10x−22+22=8+22-10x - 22 + 22 = 8 + 22\newline−10x=30-10x = 30
  4. Solve for x: Divide both sides by −10-10 to solve for x.\newline−10x/−10=30/−10-10x / -10 = 30 / -10\newlinex=−3x = -3

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