Question

quick help pls!!!!!!!!¡!!!!!!!​

Answer 1

Answer:

x = 3.5

Step-by-step explanation:

To solve:

$\Longrightarrow \sf 7 - \Bigg[3 \ \dfrac{(2x - 5)}{4}\Bigg] = \dfrac{1}{2} \Bigg[4x - 7\Bigg]$

Convert the mixed fraction to a proper fraction.

$\sf Whole \ No \ \dfrac{Numerator}{Denominator} \xrightarrow{Fraction} \dfrac{\big\{Whole \ No \times Denominator\big\} + Numerator}{Denominator}$

$\Longrightarrow \sf 7 - \Bigg[\dfrac{12 + 2x - 5}{4}\Bigg] = \dfrac{1}{2} \Bigg[4x - 7\Bigg]$

$\Longrightarrow \sf 7 - \Bigg[\dfrac{7 + 2x}{4}\Bigg] = \dfrac{1}{2} \Bigg[4x - 7\Bigg]$

Open the brackets.

$\Longrightarrow \sf 7 = \dfrac{4x - 7}{2} + \dfrac{7 + 2x}{4}$

Take LCM.

$\Longrightarrow \sf 7 = \dfrac{8x - 14 + 7 + 2x}{4}$

$\Longrightarrow \sf 7 = \dfrac{10x - 7}{4}$

Transpose 4 to the other side.

$\Longrightarrow \sf 7 \times 4 = 10x - 7$

$\Longrightarrow \sf 28+ 7 = 10x$

$\Longrightarrow \sf 35 = 10x$

$\Longrightarrow \sf x = \dfrac{35}{10}$

$\Longrightarrow \sf x = 3.5$