One- and Two-Step Equations
Variables on Both Sides
Equations with Brackets
Equations with Fractions
Equations with Squares
100

x + 5 = 45

x = 45 - 5

x = 40

100

3x - 33 = 2x + 5

3x - 2x = 5 + 33

        x = 38

100

2(x - 3) = 2

2x - 6 = 2

2x = 2 + 6

2x = 8

x = 4

100

(b - 4) / 3 = -5

b - 4 = -15

b = -15 + 4

b = -11

100

x2 = 400

x = +/-20

200

6x = -78

x = -78 ÷ 6

x = -13

200

-4x + 10 = -5x - 3

-4x + 5x = -3 - 10

           x = -13

200

-7(x + 4) = 21

-7x - 28 = 21

-7x = 21 + 28

-7x = 49

   x = -7

200

(5x + 4)/7 = -3

5x + 4 = -21

      5x = -21 - 4

      5x = -25

       x = -5

200

x2 - 1 = 24

x2 = 25

x = +/-5

300

3x - 1 = 47

3x = 47 +1

3x = 48

  x = 48 ÷ 3

  x = 16

300

4x - 18 = x + 3

4x - x = 3 + 18

     3x = 21

      x = 21 ÷ 3

       x = 7


300

-4(3x - 6) = -12

-12x + 24 = -12

-12x = -12 - 24

-12x = -36

x = 3

300

(3/4) (p - 1) = 3

3(p - 1) = 12

  3p - 3 = 12

      3p = 12 + 3

      3p = 15

       p = 5

300

3x2 + 72 = 315

3x2 = 243

x2 = 81

x = +/- 9

400

8 - x = 23

-x = 23 - 8

-x = 15

x = -15

400
11x + 5 = -4x - 10

11x + 4x = -10 - 5

        15x = -15

            x = 1

400

3(2x + 6) = 2(x - 3)

6x + 18 = 2x - 6
6x - 2x = -6 - 18
4x = -24
x = -6

400

(y - 8)/3 = (y + 4)/2

2(y - 8) = 3(y + 4)

 2y - 16 = 3y + 12

2y - 3y = 12 + 16

       -y = 28

        y = -28

400

5(c2 - 1)=19 - c2

5c2 - 5 = 19 - c2

5c2 + c2 = 19 + 5

       6c2 = 24

         c2 = 4

          c = +/- 2

500

x÷-3 - 11 = -18

x ÷ -3 = -18 + 11

x ÷ -3 = -7

       x = -7 * -3

       x = 21

500

-9x + 1 = -2x - 19

-9x + 2x = -19 - 1

500

4(2x -2 ) + 4 = 5 - 2(x + 2)

8x - 8 + 4 = 5 - 2x - 4

      8x - 4 = 1 - 2x

    8x + 2x = 1 + 4

         10x = 5

            x = 2

500

(2/3)(w - 5) = (3/4)(w + 2)

2*4(w - 5) = 3*3(w + 2)

   8(w - 5) = 9(w + 2)

    8w - 40 = 9w + 18

           -w = 58

            w = -58

500

8(sqrt(m)+7) = 16(sqrt(m)+3)

8sqrt(m) + 56 = 16sqrt(m) + 48

56 - 48 = 16sqrt(m) - 8sqrt(m)

8 = 8sqrt(m)

1 = sqrt(m)

1 = m


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