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Solve the equation: (X+1)/2 + 5 = 11/2

Mathematics

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Answer

X=0X=0

Step-by-step solution

5 steps

  1. Write down the given equation.

    X+12+5=112\frac{X+1}{2} + 5 = \frac{11}{2}

  2. Subtract 5 from both sides of the equation to isolate the term with X.

    X+12=112−5\frac{X+1}{2} = \frac{11}{2} - 5

  3. Convert 5 to a fraction with a denominator of 2 and simplify the right side.

    X+12=112−102\frac{X+1}{2} = \frac{11}{2} - \frac{10}{2} X+12=11−102\frac{X+1}{2} = \frac{11-10}{2} X+12=12\frac{X+1}{2} = \frac{1}{2}

  4. Multiply both sides of the equation by 2 to eliminate the denominator.

    2×X+12=2×122 \times \frac{X+1}{2} = 2 \times \frac{1}{2} X+1=1X+1 = 1

  5. Subtract 1 from both sides of the equation to solve for X.

    X=1−1X = 1 - 1 X=0X = 0
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