"Simplify the expression (2x−3)5−(2x−4)4=2" was answered by our experts

Marvin Mccormick

Answered question

2021-10-26

Simplify the expression

\frac{(2 x - 3)}{5} - \frac{(2 x - 4)}{4} = 2

Jaylen Fountain

Skilled2021-10-27Added 169 answers

Step 1
First we write the equation and then we get the least common factor of 5 and 4, denominators of both the fractions.

\frac{(2 x - 3)}{5} - \frac{(2 x - 4)}{4} = 2

Step 2
Least common factor of 5,4 is 20 so we put 20 as a denominator in the fraction. Now the equation becomes like this.

\frac{4 (2 x - 3) - 5 (2 x - 4)}{20} = 2

Step 3
Now we simplify numerator of the sum first.

\frac{8 x - 12 - 5 (2 x - 4)}{20} = 2

\frac{8 x - 12 - 10 x + 20}{20} = 2

\frac{- 2 x + 8}{20} = 2

Step 4
Now we multiply with 20 on both the sides of the equation and then we solve it.

- 2 x + 8 = 40

Step 5
Here is the solution.

- 2 x = 40 - 8

- 2 x = 32

x = \frac{(- 32)}{2} = - 16

Answer is

x = (- 16)

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