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32:13 Hide 4◻ Mark for Review If 5(x+4)=4(x+4)+29, what is the value of x+4 ? (A) -4 (B) 25 (C) 29 (D) 33

3232:1313\newlineHide\newline4□ 4 \square Mark for Review\newlineIf 5(x+4)=4(x+4)+29 5(x+4)=4(x+4)+29 , what is the value of x+4 x+4 ?\newline(A) −4-4\newline(B) 2525\newline(C) 2929\newline(D) 3333

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Q. 3232:1313\newlineHide\newline4□ 4 \square Mark for Review\newlineIf 5(x+4)=4(x+4)+29 5(x+4)=4(x+4)+29 , what is the value of x+4 x+4 ?\newline(A) −4-4\newline(B) 2525\newline(C) 2929\newline(D) 3333
  1. Distribute and Simplify: First, distribute the 55 and 44 on both sides of the equation.5(x+4)=4(x+4)+295(x+4) = 4(x+4) + 295x+20=4x+16+295x + 20 = 4x + 16 + 29
  2. Combine Like Terms: Now, combine like terms on the right side. 5x+20=4x+455x + 20 = 4x + 45
  3. Isolate Variable: Next, subtract 4x4x from both sides to get xx by itself.\newline5x−4x+20=4x−4x+455x - 4x + 20 = 4x - 4x + 45\newlinex+20=45x + 20 = 45
  4. Solve for x: Then, subtract 2020 from both sides to solve for x.\newlinex+20−20=45−20x + 20 - 20 = 45 - 20\newlinex=25x = 25

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