Examples with solutions for Solving Equations Using All Methods: Equations with variables on both sides

Exercise #1

Solve for X:

x+34x=5x+618x x+3-4x=5x+6-1-8x

Video Solution

Answer

No solution

Exercise #2

Find the value of the parameter X

3x+811=40x+5x+9 -3x+8-11=40x+5x+9

Video Solution

Answer

14 -\frac{1}{4}

Exercise #3

Find the value of the parameter X

746x+3=8x+5x18 74-6x+3=8x+5x-18

Video Solution

Answer

5 5

Exercise #4

Solve for X:

54x36x+34=39+5x18 54x-36x+34=39+5x-18

Video Solution

Answer

1 -1

Exercise #5

Solve for X:

36x52+8x=19x+5431 36x-52+8x=19x+54-31

Video Solution

Answer

3 3

Exercise #6

Solve for X:

22x+354x=318+10x -22x+35-4x=31-8+10x

Video Solution

Answer

13 \frac{1}{3}

Exercise #7

Solve for X:

45+3x+99=5x+11x+2 -45+3x+99=5x+11x+2

Video Solution

Answer

4 4

Exercise #8

Find the value of the parameter X

33x+4558=38x+14415 -33x+45-58=38x+144-15

Video Solution

Answer

2 -2

Exercise #9

Find the value of the parameter X

31+48x+46=83x85+15x -31+48x+46=83x-85+15x

Video Solution

Answer

2 2

Exercise #10

Solve for X:

15x23+14x=34x35+15 \frac{1}{5}x-\frac{2}{3}+\frac{1}{4}x=\frac{3}{4}x-\frac{3}{5}+\frac{1}{5}

Video Solution

Answer

89 -\frac{8}{9}

Exercise #11

Solve for X.

38x+15610=1025+13x78x \frac{3}{8}x+\frac{1}{5}-\frac{6}{10}=-\frac{10}{25}+\frac{1}{3}x-\frac{7}{8}x

Video Solution

Answer

0 0

Exercise #12

Solve for X:

78x+1713=23+58x14x -\frac{7}{8}x+\frac{1}{7}-\frac{1}{3}=\frac{2}{3}+\frac{5}{8}x-\frac{1}{4}x

Video Solution

Answer

2435 -\frac{24}{35}

Exercise #13

Solve for X:

1735x+18x=19+39210x \frac{1}{7}-\frac{3}{5}x+\frac{1}{8}x=\frac{1}{9}+\frac{3}{9}-\frac{2}{10}x

Video Solution

Answer

760693 -\frac{760}{693}

Exercise #14

Solve for X:

18x34+19=28+34x12x \frac{1}{8}x-\frac{3}{4}+\frac{1}{9}=-\frac{2}{8}+\frac{3}{4}x-\frac{1}{2}x

Video Solution

Answer

319 -3\frac{1}{9}

Exercise #15

Solve for X:


7935x+14=2837x+610x \frac{7}{9}-\frac{3}{5}x+\frac{1}{4}=\frac{2}{8}-\frac{3}{7}x+\frac{6}{10}x

Video Solution

Answer

12243 1\frac{2}{243}

Exercise #16

Solve for X:

311812x+13x=12+242224x \frac{3}{11}-\frac{8}{12}x+\frac{1}{3}x=\frac{1}{2}+\frac{2}{4}-\frac{22}{24}x

Video Solution

Answer

9677 \frac{96}{77}

Exercise #17

Solve for X:


18416+1516x=34x28x+38 \frac{1}{8}-\frac{4}{16}+\frac{15}{16}x=\frac{3}{4}x-\frac{2}{8}x+\frac{3}{8}

Video Solution

Answer

1614 \frac{16}{14}

Exercise #18

Solve for X:

364x+357819x=168+455x3819 \frac{36}{4}x+\frac{35}{7}-\frac{81}{9}x=\frac{16}{8}+\frac{45}{5}x-\frac{38}{19}

Video Solution

Answer

59 \frac{5}{9}

Exercise #19

Solve for X:

10025+14412x3311=568x357x+182 \frac{100}{25}+\frac{144}{12}x-\frac{33}{11}=\frac{56}{8}x-\frac{35}{7}x+\frac{18}{2}

Video Solution

Answer

45 \frac{4}{5}

Exercise #20

Solve for X:

0.3x4.5+7.4x=38x3.5+1.4 0.3x-4.5+7.4x=38x-3.5+1.4

Video Solution

Answer

0.61 0.61