Question

Of the following options, what could be a possible first step in solving the equation x + 6 = 3x − 2?

Adding 3x to both sides of the equation
Adding x to both sides of the equation
Subtracting 6 from both sides of the equation
Subtracting 2 from both sides of the equation

Answer 1

subtracting 6 from both sides of the equation

Answer 2

Subtracting 6 from both sides of the equation

Explanation:

Let us see the steps,

first we subtract 6 from both sides we get

x+6-6=3x-2-6

x=3x-8

now we subtract x from both sides

x-x=3x-x-8

0=2x-8

adding 8 on both sides we get

0+8=2x-8+8

8=2x

dividing both sides by 2 we get ,

4=x

Hence we see that the first step in solution can be subtracting 6 from both sides.