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2(x-16)+1=41

2(x−16)+1=41 2(x-16)+1=41

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Describe the graph of a linear equationright chevron icon

Full solution

Q. 2(x−16)+1=41 2(x-16)+1=41
  1. Identify Structure: Identify the structure of the equation and start simplifying.\newlineThe equation is in the form of a simple linear equation with a distributive property to be simplified first.\newline2(x−16)+1=412(x - 16) + 1 = 41
  2. Distribute 22: Distribute the 22 into the parentheses.2×x−2×16+1=412 \times x - 2 \times 16 + 1 = 412x−32+1=412x - 32 + 1 = 41
  3. Combine Like Terms: Combine like terms on the left side of the equation. 2x−31=412x - 31 = 41
  4. Isolate Variable Term: Isolate the variable term by adding 3131 to both sides of the equation.\newline2x−31+31=41+312x - 31 + 31 = 41 + 31\newline2x=722x = 72
  5. Divide to Solve: Divide both sides of the equation by 22 to solve for x.\newline2x2=722\frac{2x}{2} = \frac{72}{2}\newlinex=36x = 36

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