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f) 
4(-x+3)=20

f) 4(x+3)=20 4(-x+3)=20

Full solution

Q. f) 4(x+3)=20 4(-x+3)=20
  1. Identify Equation: Identify the equation to solve.\newlineThe equation given is 4(x+3)=204(-x+3) = 20. We need to find the value of xx that satisfies this equation.
  2. Distribute 44: Distribute the 44 across the terms inside the parentheses.\newline4×(x)+4×3=204 \times (-x) + 4 \times 3 = 20\newlineThis simplifies to 4x+12=20-4x + 12 = 20.
  3. Subtract 1212: Subtract 1212 from both sides of the equation to isolate the term with xx.\newline4x+1212=2012-4x + 12 - 12 = 20 - 12\newlineThis simplifies to 4x=8-4x = 8.
  4. Divide by 4-4: Divide both sides of the equation by 4-4 to solve for x.\newline4x/4=8/4-4x / -4 = 8 / -4\newlineThis simplifies to x=2x = -2.