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What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?
3/2 and 5/4 as in fractions

Respuesta :

MoniMS

Answer:

3/16

Step-by-step explanation:

6x-3/2-3x=5/4-x-2

3x-3/2=-3/4-x

4x=3/2-3/4

4x=6/4-3/4

4x=3/4

x=3/16

adioabiola

We are required to find the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)

The value of x in the equation is 3/2

Given:

3/2(4x – 1) – 3x = 5/4 – (x + 2)

Open parenthesis

12/2x - 3/2 - 3x = 5/4 - x + 2

6x - 3/2 - 3x = 5/4 - x + 2

Collect like terms

6x - 3x + x = 5/4 + 2 + 3/2

4x = (5+3)/4 + 2

4x = 8/4 + 2

4x = 4 + 2

4x = 6

Divide both sides by 4

x = 6/4

x = 3/2

Therefore, the value of x in the equation is 3/2

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