Question

2x-(x+5x-4/7)=4x+7/3-7
​

Answer 1

Step-by-step explanation:

$2x - (x + 5x - \frac{4}{7} ) = 4x + \frac{7}{3} - 7$

$2x - x - 5x + \frac{4}{7} = 4x + \frac{7}{3} - 7$

$- 4x + \frac{4}{7} = 4x + \frac{7}{3} - 7$

$4x + 4x = \frac{4}{7} - \frac{7}{3} + 7$

$8x = \frac{12 - 49 + 147}{21}$

$8x = \frac{110}{21}$

$x = \frac{110}{21 \times 8}$

$x = \frac{55}{84}$

Answer 2

✭ Question -:

$\small \sf{2x - x + \dfrac{5x - 4}{7} = \dfrac{4x + 7}{3} - 7 }$

✭ Explanation -:

$\small \bf{2x - x + \dfrac{5x - 4}{7} = \dfrac{4x + 7}{3} - 7 }$

$\bull \: \small\sf{ Subtract}$

$\small \rm{x + \dfrac{5x - 4}{7} = \dfrac{4x + 7}{3} - 7 }$

$\bull \: \small\sf {Multiply \: with \: the \: LCM \: of \: 3 \: and \: 7 = 21}$

$\small \rm{21x -3 (5x-4)= 7(4x+7) - 147 }$

$\small \rm{21x -15x + 12=28x + 49 - 147 }$

$\bull \: \small\sf{Combine \: the \: like \: terms}$

$\small\rm{ 6x + 12 = 28x - 98}$

$\bull \: \small\sf{ Transposing \: -98 \: to \: the \: LHS }$

$\small\rm {6x + 12 + 98 = 28x}$

$\small\rm{6x + 110 = 28x}$

$\bull \: \small\sf{ Transposing \: 6x \: to \: the \: RHS }$

$\small\rm{110 = 28x - 6x}$

$\bull \: \small \sf{Subtract}$

$\small\rm {22x = 110}$

$\bull \: \small\sf{ Divide}$

$\small\rm{x = \dfrac{ \cancel{110} \: \: 5}{ \cancel{22}} = 5}$

$\bull \: \small \underline{\sf{ Final \: Answer }}$

$\star \: \small \underline {\boxed{\rm{ x = 5}}}$