Question

Malik solved the equation 2x – 3(2x – 9) = 4 – (3x – 11) using the steps shown below.

Answer 1

2x -6x + 27= 4-3x +11
2x-6x+3x= 4+11-27
-1x= -12
x=12

Answer 2

`x=12`

Explanation:

Given Equations are -

`2x-3(2x-9)=4-(3x-11)`

It is required to solve the given equations in four steps only.

Step 1 - solve the brackets first

`2x-3(2x-9)=4-(3x-11)\\2x-6x+27=4-3x+11`

step 2 - put all variable values on one side and constant values on other side

`2x-6x+27=4-3x+11\\2x-6x+3x=4+11-27`

step 3- Do the addition and subtraction on LHS and RHS of the equation

`2x-6x+3x=4+11-27\\-x=-12`

step 4- removing the minus sign on both sides

`-x=-12\\x=12`