Solve the Fraction Equation: -1/5x + 1/4x + 1/20x = 3/10 - 2/5 + 2/10x

Solve for x:

−15x+14x+120x−15=310−25+210x -\frac{1}{5}x+\frac{1}{4}x+\frac{1}{20}x-\frac{1}{5}=\frac{3}{10}-\frac{2}{5}+\frac{2}{10}x

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:04 Find the common denominator and multiply accordingly
00:47 Group terms
00:57 Arrange the equation so that X is isolated on one side
01:09 Group terms
01:13 Isolate X
01:20 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve for x:

−15x+14x+120x−15=310−25+210x -\frac{1}{5}x+\frac{1}{4}x+\frac{1}{20}x-\frac{1}{5}=\frac{3}{10}-\frac{2}{5}+\frac{2}{10}x

2

Step-by-step solution

  • Move similar terms to one side.

  • Create common denominators using the least common multiple of the different fractions.

  • Reduction of fractions.

3

Final Answer

-1

Practice Quiz

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\( x+x=8 \)

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