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Solve for x. 2(-4x+1)+3x+1=-12 Answer:

Solve for x \mathrm{x} .\newline2(−4x+1)+3x+1=−12 2(-4 x+1)+3 x+1=-12 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline2(−4x+1)+3x+1=−12 2(-4 x+1)+3 x+1=-12 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the 22 into the parentheses.2(−4x)+2(1)+3x+1=−122(-4x) + 2(1) + 3x + 1 = -12−8x+2+3x+1=−12-8x + 2 + 3x + 1 = -12
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline−8x+3x+2+1=−12-8x + 3x + 2 + 1 = -12\newline(−8+3)x+(2+1)=−12(-8 + 3)x + (2 + 1) = -12\newline−5x+3=−12-5x + 3 = -12
  3. Isolate x Term: Subtract 33 from both sides to isolate the term with xx.\newline−5x+3−3=−12−3-5x + 3 - 3 = -12 - 3\newline−5x=−15-5x = -15
  4. Solve for x: Divide both sides by −5-5 to solve for x.\newline−5x/−5=−15/−5-5x / -5 = -15 / -5\newlinex=3x = 3

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