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Solve the following equations for x: 1.1) x + 3 = 8, 1.2) x − 7 = 9, 1.3) x − 3 = 28, 1.4) x + 4 = 26, 1.5) x − 10 = 4, 1.6) x − 18 = 9

Mathematics

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Answers

6 parts
1.1

5\text{5}

1.2

16\text{16}

1.3

31\text{31}

1.4

22\text{22}

1.5

14\text{14}

1.6

27\text{27}

Step-by-step solution

12 steps

Here are the solutions to the problems:

Part 1.1· 2 steps

  1. Subtract 3 from both sides of the equation.

    x+3−3=8−3x + 3 - 3 = 8 - 3
  2. Simplify to find the value of xx.

    x=5x = 5

    The final answer is 5\boxed{\text{5}}

Part 1.2

16\text{16}

  1. Add 7 to both sides of the equation.

    x−7+7=9+7x - 7 + 7 = 9 + 7
  2. Simplify to find the value of xx.

    x=16x = 16

    The final answer is 16\boxed{\text{16}}

Part 1.3

31\text{31}

  1. Add 3 to both sides of the equation.

    x−3+3=28+3x - 3 + 3 = 28 + 3
  2. Simplify to find the value of xx.

    x=31x = 31

    The final answer is 31\boxed{\text{31}}

Part 1.4

22\text{22}

  1. Subtract 4 from both sides of the equation.

    x+4−4=26−4x + 4 - 4 = 26 - 4
  2. Simplify to find the value of xx.

    x=22x = 22

    The final answer is 22\boxed{\text{22}}

Part 1.5

14\text{14}

  1. Add 10 to both sides of the equation.

    x−10+10=4+10x - 10 + 10 = 4 + 10
  2. Simplify to find the value of xx.

    x=14x = 14

    The final answer is 14\boxed{\text{14}}

Part 1.6

27\text{27}

  1. Add 18 to both sides of the equation.

    x−18+18=9+18x - 18 + 18 = 9 + 18
  2. Simplify to find the value of xx.

    x=27x = 27

    The final answer is 27\boxed{\text{27}}

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