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5x+2x−8=165x+2x-8=16

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Q. 5x+2x−8=165x+2x-8=16
  1. Combine like terms: Identify and combine like terms in the equation.\newline5x5x and 2x2x are like terms, so we combine them to simplify the equation.\newline5x+2x=7x5x + 2x = 7x\newlineSo the equation becomes 7x−8=167x - 8 = 16.
  2. Isolate variable term: Isolate the variable term on one side of the equation.\newlineTo do this, we need to move the constant term −8-8 to the other side of the equation by adding 88 to both sides.\newline7x−8+8=16+87x - 8 + 8 = 16 + 8\newlineThis simplifies to 7x=247x = 24.
  3. Divide by coefficient: Divide both sides of the equation by the coefficient of xx to solve for xx.7x7=247\frac{7x}{7} = \frac{24}{7}This simplifies to x=247x = \frac{24}{7}.
  4. Calculate value of x: Calculate the value of xx.2424 divided by 77 is 33 with a remainder of 33, so x=337x = 3 \frac{3}{7} or x≈3.4286x \approx 3.4286.

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