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Solve for x. -2(-2x+2)+5x-2=39 Answer:

Solve for x \mathrm{x} .\newline−2(−2x+2)+5x−2=39 -2(-2 x+2)+5 x-2=39 \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} .\newline−2(−2x+2)+5x−2=39 -2(-2 x+2)+5 x-2=39 \newlineAnswer:
  1. Distribute and Simplify: First, distribute the −2-2 into the parentheses.−2×−2x+−2×2+5x−2=39-2 \times -2x + -2 \times 2 + 5x - 2 = 394x−4+5x−2=394x - 4 + 5x - 2 = 39
  2. Combine Like Terms: Combine like terms on the left side of the equation.\newline4x+5x−4−2=394x + 5x - 4 - 2 = 39\newline9x−6=399x - 6 = 39
  3. Add and Isolate: Add 66 to both sides to isolate the term with the variable xx.\newline9x−6+6=39+69x - 6 + 6 = 39 + 6\newline9x=459x = 45
  4. Divide and Solve: Divide both sides by 99 to solve for xx.\newline9x9=459\frac{9x}{9} = \frac{45}{9}\newlinex=5x = 5

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