Question

find the value of x and verify your answer

Answer 1

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


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


5x - 4x + 14 = 6x - 2 + 7 / 2


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


x + 14 = 6x + 3 / 2


14 - 3 / 2 = 6x - x


( 28 - 3 ) / 2 = 5x


25 / 2 = 5x


5 / 2 = x


2.5 = x


$\: \: \: \: \: \: \: \: \: \: \mathsf{Verification : - }$


LHS → 5x - 2( 2x - 7 )


→ 5( 2.5 ) - 2{ 2( 2.5 ) - 7 }


→ 12.5 - 10 + 14


→ 16.5



RHS → 2( 3x - 1 ) + 7 / 2


→ 2{ 3( 2.5 ) - 1 } + 3.5


→ 2{ 7.5 - 1 } + 3.5


→ 13 + 3.5


→ 16.5




Therefore, value of x is 2.5 or 5 / 2