Question

Help I know that I have to move 3x to 4x with will be -3x and then I will subtract it then I will be left with -x and then I'll be with -x -3 what do I do after ?

4x -3 = 3x

Answer 1

x = 3

Step-by-step explanation:

We are trying to move all terms that have x on one side of the equal sign and terms that do not have an x on the other side of equal sign.

terms with x = terms without x

4x -3 = 3x , subtract 3x from both side of the equation

4x -3x -3 = 3x -3x

4x -3x -3 = 0 , add 3 to both sides of the equation

4x -3x -3 + 3 = 0 + 3

4x -3x = 3 , combine like terms

x = 3

Or

We can think we move each term where we want it, yet keep in mind that once we cross the equal sign we change the sign of the term if addition or subtraction are the only operations involved.

4x -3 = 3x , 3x is positive so will become negative on the other side of the equal sign and -3 is negative so will become positive on the other side.

4x -3x = 3

x = 3

Answer 2

`\sf \boxed{\bold{x = 3}}`

Step-by-step explanation:

• 4x -3 = 3x

subtract both sides by 4x

• 4x - 3 -4x = 3x - 4x

group similar terms

• 4x - 4x - 3 = -x

simplify

• -3 = -x

divide both sides by -1 or cancel out the negatives

• x = 3

Check:

• 4(3) -3 = 3(3)

• 12 - 3 = 9

• 9 = 9

L.H.S = R.H.S Thus x = 3 confirmed