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

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

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Full solution

Q. Solve for x \mathrm{x} .\newline−4(x−4)+x+3=−2 -4(x-4)+x+3=-2 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the −4-4 into the parentheses.\newline−4(x−4)+x+3=−2-4(x-4)+x+3=-2\newline−4⋅x+16+x+3=−2-4\cdot x + 16 + x + 3 = -2
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline−4x+x+16+3=−2-4x + x + 16 + 3 = -2\newline(−4x+x)+(16+3)=−2(-4x + x) + (16 + 3) = -2\newline−3x+19=−2-3x + 19 = -2
  3. Isolate Variable: Subtract 1919 from both sides to isolate the term with the variable xx.\newline−3x+19−19=−2−19-3x + 19 - 19 = -2 - 19\newline−3x=−21-3x = -21
  4. Solve for x: Divide both sides by −3-3 to solve for x.\newline−3x/−3=−21/−3-3x / -3 = -21 / -3\newlinex=7x = 7

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