Question

3(x+2)-2(x-1)=7
linear equation​

Answer 1

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

3x+6-2x+2=7

x+8=7

x=7-8

x= -1

Answer 2

$= 3(x + 2) - 2(x - 1) = 7$

$= 3x + 6 + ( - 2x) + 2 = 7$

$= 3x + ( - 2x) + 6 + 2 = 7$

$= 1x + 6 + 2 = 7$

$= x + 8 = 7$

$= x = 7 - 8$

$\color{hotpink}= x = ( - 1)$

Let us place -1 in the place of x , to check whether or not we have found out the correct value of x :-

$= 3( - 1 + 2) - 2( - 1 - 1) = 7$

$= 3 (1) - 2( - 1 - 1) = 7$

$= 3 - 2( - 1 - 1) = 7$

$= 3( - 2) \times ( - 2) = 7$

$= 3 - ( - 4) = 7$

$= 3 + 4 = 7$

$=7 = 7$

$\color{olive}LHS = \color{hotpink}RHS$

Since the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , the value of :-

$\color{hotpink}x = \bold (- 1)$