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Solve for x in each of the following linear equations. a) 2x+5=15 b) 4x−7=9 c) 7x−3=25

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3 parts
a

5\text{5}

b

4\text{4}

c

4\text{4}

Step-by-step solution

6 steps

here are the solutions for solving for xx:

Part 12

Solve for xx in each of the following linear equations.

Part a

5\text{5}

2x+5=152x + 5 = 15

  1. Subtract 5 from both sides of the equation to isolate the term with xx.

    2x+5−5=15−52x + 5 - 5 = 15 - 5 2x=102x = 10

  2. Divide both sides by 2 to solve for xx.

    2x2=102\frac{2x}{2} = \frac{10}{2} x=5x = 5

    The value of xx is 5\boxed{\text{5}}.

Part b

4\text{4}

4x−7=94x - 7 = 9

  1. Add 7 to both sides of the equation to isolate the term with xx.

    4x−7+7=9+74x - 7 + 7 = 9 + 7 4x=164x = 16

  2. Divide both sides by 4 to solve for xx.

    4x4=164\frac{4x}{4} = \frac{16}{4} x=4x = 4

    The value of xx is 4\boxed{\text{4}}.

Part c

4\text{4}

7x−3=257x - 3 = 25

  1. Add 3 to both sides of the equation to isolate the term with xx.

    7x−3+3=25+37x - 3 + 3 = 25 + 3 7x=287x = 28

  2. Divide both sides by 7 to solve for xx.

    7x7=287\frac{7x}{7} = \frac{28}{7} x=4x = 4

    The value of xx is 4\boxed{\text{4}}.

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