Question

(4(x + 1) - (2x - 3))/(x - 2x) = 1/4​

Answer 1

★Given:-

➣ 4(x + 1) - (2x - 3))/(x - 2x) = 1/4

★Full Explanation:-

⇒Step 1: Cross-multiply.

$⇒ \sf \: \frac{4(x+1)−(2x−3)</p><p>}{ x−2x} = \frac{1}{4}$

$\:\sf(4(x+1)−(2x−3))*(4)=1*(x−2x)$

$⇒\sf \: 8x+28=−x$

⇒Step 2: Add x to both sides.

$⇒\sf \: 8x+28+x=−x+x$

$⇒\sf \: 9x+28=0$

⇒Step 3: Subtract 28 from both sides.

$⇒\sf \: 9x+28−28=0−28$

$⇒\sf \: 9x=−28$

⇒Step 4: Divide both sides by 9.

$⇒ \sf \: \frac{9x}{9} = \frac{- 28}{9}$

★Final Answer:-

$\sf \: x = \frac{ - 28}{9}$

Answer 2

Answer:

x = -3.11

Step-by-step explanation:

[4(x + 1) - (2x - 3)]/(x - 2x) = 1/4

(4x + 4 - 2x + 3)/(x - 2x) = 1/4

Cross multiply them,

4(4x + 4 - 2x + 3) = 1(x - 2x)

4(2x + 7) = 1(-x)

8x + 28 = - x

8x + x = - 28

9x = - 28

Divide by 9 on both sides,

9x/9 = -28/9

x = - 3.11

Hence, the value of x in [4(x + 1) - (2x - 3)]/(x - 2x) = 1/4 is -3.11 or -28/9.

Verification:

Substitute value of x = -3.11 in [4(x + 1) - (2x - 3)]/(x - 2x) = 1/4

[4(x + 1) - (2x - 3)]/(x - 2x) = 1/4

(4x + 4 - 2x + 3)/(-x) = 1/4

4(2x + 7) = - x

8x + 28 = - x

8(-28/9) + 28 = -28/9

(-224 + 252)/9 = -28/9

-28/9 = -28/9