1/4x + 6 + 1/5x - 3/20x = 4.2

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the numerical expression:

1/4x + 6 + 1/5x - 3/20x = 4.2

Solve for x.

Solution:

In order to easily solve the given numerical expression, we convert the fractions into decimals.

¼x = 0.25x

1/5x = 0.2x

-3/20x = 0.15x

Now we can easily solve the equation.

0.25x + 6 + 0.2x - 0.15x =4.2

0.3x+ 6 =4.2

Transpose 6 on the other side of the equation, note that when transposing a number the sign changes.

0.3x = 4.2 - 6

0.3x = -1.8

Divide both sides by 0.3 in order to get the value of x.

0.3x/0.3 = -1.8/0.3

x = -6

Final answer:

x = -6