9-4x=3x+2 Now you want to get x’s on one side(ad 4x to each side)

9=7x+2 Now subtract 2 so x’s will be alone on one side

7=7x Now divide by 7 so x will be completely alone.

1=x

The methods to solving the short equations can also be used for longer ones.

How did you solve 5x = 30? You divided both sides by 5 to get (5x)/5 = (30)/5, which becomes x = 6.

For 9 – 4x = 6x + 2 – 3x the first step is to try and make it a smaller equation.

You can subtract a number from both sides of the equation, like 2. This will give you 9 – 4x – 2 = 6x + 2 -3x -2, which becomes 7 – 4x = 6x – 3x.

You can simplify it again by combining terms and then adding something to both sides. Hope this helps!

5x=30 expanded

2x+3x=10+20

that’s the same thing.

now if I subtract 10 from both sides

2x+3x-10=(10-10)+20

I get

2x+3x-10=20

now subtract 3x from both sides

2x+(3x-3x)-10=20-3x

I get

2x-10=20-3x

see? the equation you solved is really no different from one you were having problems with. So let’s work the other problem:

9 – 4x = 6x + 2 – 3x

Let’s get all the terms with and “x” together

Let’s start by adding 4x to both sides

9-4x+4x=6x+2-3x+4x

do you see the -4x+4x add up to zero? so…

9=6x+2-3x+4x

now we have all the “x” terms on the right side, but we also have one term without an “x” – we have the +2, too. Let’s subtract 2 from bother sides:

9-2=6x+(2-2)-3x+4x

2-2 is zero, right?

9-2=6x-3x+4x

what’s 9-2? 7

7=6x-3x+4x

What is 6-3+4? 7

so 6x-3x+4x will be 7x.

7= 6x-3x+4x becomes

7=7x

that’s something you can solve right?

x=1

always check your work by plugging the answer back into the equation

9 – 4x = 6x + 2 – 3x

9 – 4(1)=6(1)+2-3(1)

9-4=6+2-3

5=5 !

9-4x=3x+2

now, lets move all your variables to the left side of the equation:

9-4x-3x=3x+2-3x which becomes 9-7x=2

Next, move all your numerals to the right side of the equation:

9-7x-9=2-9 which becomes -7x=-7

from here, you should be able to solve, getting 1

(6x-3x=3x)

9-4x=3x+2

( -3x -3x)

(-4x – 3x= -7x, 3x – 3x= 0)

9-7x=2

-9 -9

(9 – 9=0, 2 – 9= -7)

-7x=-7

x=1

remember to just do the same operation to each side of the equal sign after combining like terms. (6x and -3x)