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Using the properties of equality, find the value of x in the equation below. 2(11 x+9x)=-6

Using the properties of equality, find the value of x x in the equation below.\newline2(11x+9x)=−6 2(11 x+9 x)=-6

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Q. Using the properties of equality, find the value of x x in the equation below.\newline2(11x+9x)=−6 2(11 x+9 x)=-6
  1. Combine like terms: Combine like terms inside the parentheses.\newlineCalculation: 11x+9x=20x11x + 9x = 20x\newlineReasoning: Adding the coefficients of xx.
  2. Distribute 22: Distribute the 22 across the terms inside the parentheses.\newlineCalculation: 2×20x=40x2 \times 20x = 40x\newlineReasoning: Multiplication property of equality.
  3. Rewrite equation: Rewrite the equation with the distributed term.\newlineCalculation: 40x=−640x = -6\newlineReasoning: Simplifying the left side of the equation.
  4. Divide by 4040: Divide both sides of the equation by 4040 to solve for xx.\newlineCalculation: x=−640x = -\frac{6}{40}\newlineReasoning: Division property of equality.
  5. Simplify fraction: Simplify the fraction to find the value of xx.\newlineCalculation: x=−320x = \frac{-3}{20}\newlineReasoning: Simplifying the fraction by dividing both numerator and denominator by 22.

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