Examples with solutions for Solving Equations Using All Methods: Exercises with fractions

Exercise #1

Solve for X:

9x=3x+2 \frac{9}{x}=\frac{3}{x+2}

Video Solution

Answer

3 -3

Exercise #2

Solve for X:


3x9=4+x6 \frac{3-x}{9}=\frac{4+x}{6}

Video Solution

Answer

1815 -\frac{18}{15}

Exercise #3

Solve for X:

5+3xx=34 \frac{5+3x}{x}=\frac{3}{4}

Video Solution

Answer

2118 -\frac{21}{18}

Exercise #4

Solve for X:

x5=x+310 \frac{x}{5}=\frac{x+3}{10}

Video Solution

Answer

35 \frac{3}{5}

Exercise #5

Solve for X:

9x5=x4 \frac{9-x}{5}=\frac{x}{4}

Video Solution

Answer

4 4

Exercise #6

Solve for X:

x3+2x=15 \frac{x}{3+2x}=\frac{1}{5}

Video Solution

Answer

1 1

Exercise #7

Solve for X:

7x5=153x \frac{7}{x-5}=\frac{15}{3-x}

Video Solution

Answer

4.36 4.36

Exercise #8

Solve for X:

9x+5=112x \frac{9}{x+5}=\frac{11}{2-x}

Video Solution

Answer

3720 -\frac{37}{20}

Exercise #9

Solve for X:

x+315=4x8 \frac{x+3}{15}=\frac{4-x}{8}

Video Solution

Answer

65 \frac{6}{5}

Exercise #10

Solve for X:

2x5×(3+x)15=27 \frac{2-x}{5\times(3+x)-15}=\frac{2}{7}

Video Solution

Answer

1417 \frac{14}{17}

Exercise #11

Solve for X:

6x7=(x8)×39 \frac{6-x}{7}=\frac{(x-8)\times3}{9}

Video Solution

Answer

7.4 7.4

Exercise #12

Solve for X:

6+xx+5=411 \frac{6+x}{x+5}=\frac{4}{11}

Video Solution

Answer

6.57 -6.57

Exercise #13

Solve for X:

5+3×(x2)5+x=34 \frac{5+3\times(x-2)}{5+x}=\frac{3}{4}

Video Solution

Answer

199 \frac{19}{9}

Exercise #14

Solve for X:

(6x)×3+4(x+5)×2=13 \frac{(6-x)\times3+4}{(x+5)\times2}=\frac{1}{3}

Video Solution

Answer

5 5

Exercise #15

Solve for X:

83(x2)5x=43 \frac{8-3(x-2)}{5-x}=\frac{4}{3}

Video Solution

Answer

225 \frac{22}{5}

Exercise #16

Solve for X:

76+3x5(x+2)=14(2x) \frac{7}{6+3x-5(x+2)}=\frac{1}{4(2-x)}

Video Solution

Answer

3013 \frac{30}{13}

Exercise #17

Solve for X:


4x+5=8(2x)×3 \frac{4}{x+5}=\frac{8}{(2-x)\times3}

Video Solution

Answer

54 \frac{5}{4}

Exercise #18

Solve for X:

63×(x+4)5=x32 \frac{6-3\times(x+4)}{5}=\frac{x-3}{2}

Video Solution

Answer

311 \frac{3}{11}

Exercise #19

Solve for X:

86×(x+5)2=1x+4 -\frac{8}{6\times(x+5)-2}=\frac{1}{x+4}

Video Solution

Answer

6014 -\frac{60}{14}

Exercise #20

6x+5=1 \frac{6}{x+5}=1

What is the field of application of the equation?

Video Solution

Answer

x5 x\operatorname{\ne}-5