Question

Solve 5x-2(2x-7) = 2(3x-1) + 7/2​

Answer 1

$\huge {\mathfrak{QUESTION \: :}}$

Solve 5x-2(2x-7) = 2(3x-1) + 7/2

$\huge {\mathfrak{ANSWER \: :}}$

here we have

5x-2(2x-7) = 2(3x-1)+ (7/2)

=> 5x-4x+14 = 6x-2+(7/2)

now by cross multiplication

=> 5x-4x+14 = ((6x-2)2 +7)/2

taking 2 to RHS

=> 2(5x-4x+14) = 12x-4+7

=> 2(X+14) = 12x+3

=> 2x+28 = 12x+3

=> 2x-12x = 3-28

=> $\cancel{-}$10x = $\cancel{-}$25

=> 10x=25

=> X=25/10

=> X=5/2

=> X=2.5

$\huge {\mathfrak{NOTE \: :}}$

while solving such question

try to make the question asbl simplify as possible

also this question was of type linear equation in one variable

Answer 2

Answer:

5x-2(2x-7) = 2(3x-1)+ (7/2)

=> 5x-4x+14 = 6x-2+(7/2)

now by cross multiplication

=> 5x-4x+14 = ((6x-2)2 +7)/2

taking 2 to RHS

=> 2(5x-4x+14) = 12x-4+7

=> 2(X+14) = 12x+3

=> 2x+28 = 12x+3

=> 2x-12x = 3-28

=> 10x = 25

=> 10x=25

=> X=25/10

=> X=5/2

=> X=2.5