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Solve the linear equation: 2(x+3)/2 = 14

Mathematics

ScanSolve AI Answer

Answer

11\text{11}

Step-by-step solution

4 steps

Here's the step-by-step solution for the given linear equation:

The equation is:

2(x+3)2=14\frac{2(x+3)}{2} = 14
  1. Multiply both sides by 2 to eliminate the denominator.

    2(x+3)=14×22(x+3) = 14 \times 2 2(x+3)=282(x+3) = 28
  2. Distribute the 2 on the left side.

    2x+2×3=282x + 2 \times 3 = 28 2x+6=282x + 6 = 28
  3. Subtract 6 from both sides of the equation to isolate the term with xx.

    2x+6−6=28−62x + 6 - 6 = 28 - 6 2x=222x = 22
  4. Divide both sides by 2 to solve for xx.

    2x2=222\frac{2x}{2} = \frac{22}{2} x=11x = 11

    The final answer is 11\text{11}.

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