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

Question

Solve for x:

15x+14x+120x15=31025+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

Video Solution

Solution Steps

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 Solution

  • Move similar terms to one side.

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

  • Reduction of fractions.

Answer

-1