Can you help with this algerbra problem?

Question

I am stuck on this question can someone help and show how this is worked out.

2(x-3)-3(x+5)=3(x-2)-7

Thanks

Answer 1

2x - 6 - 3x - 15 = 3x -6 -7
-x - 21 = 3x - 13
-8 = 4x
x = -2

Answer 2

First, multiply everything out, like so:

2(x-3) = 2x-6, 3(x+5) = 3x+15, 3(x-2) = 3x-6

So now your equation looks like this:

2x-6-3x+15 = 3x-6-7

Now, add all the like terms together:

2x-3x = -x, -6+15 = +9, -6-7 = -13, leave the 3x on the right alone

This is what you end up with:

-x + 9 = 3x - 13

Now, add 13 to both sides to get rid of the -13 on the right. You'll end up with this:

-x + 20 = 3x

Now add x to each side to get rid of the -x on the left. This is what you end up with:

20 = 4x

Divide each side by 4, and you get x = 5

Answer 3

Each item in the parenthesis should be multiplied by the number before it.

so 2 times x is 2x, 2 times -3 is -6, -3 times x is -3x, -3 times 5 is -15. On that side we get 2x-6-3x-15

On the other side we will get 3 times x is 3x and 3 times -2 is -6. On that side we not have 3x-6-7

Now we have
2x-6-3x-15=3x-6-7
Add the x's and the numbers one each side to get:
-x-21=3x-13
Take the x from the left and add it to the right, then take the 13 from the right and add it to the left
-8=4x
Then we divide -8 by 4 to get rid of it on the right
-2=x

Hope that helps!

Answer 4

First of all you need to distribute the 2, -3 and 3 into the parenthesis giving:
2x-6-3x-15 = 3x-6-7
Then group together the like terms (i.e. terms with x or no x) and then just add them together and solve until you have x= a number.

Answer 5

2(x-3) - 3(x+5) = 3(x-2)-7

Expanding, and taking care of the minus sign, you get
2x - 6 -3x - 15 = 3x - 6 - 7

Bring the x terms to the left hand side and non-x terms to the right hand side, you get
-4x = 8

Solving for x, you get x = -2

You can verify the answer by substituing x=-2 into the orginal equation to see whether the value from left hand side of the orginal equation equals the value from the right hand side of the equation.

Answer 6

start by simplifying =

2x-6 - 3x - 15 = 3x - 6 - 7

continue with simplifying

2x - 6 -3x - 15 becomes, -x -21

3x - 6 - 7 becomes 3x - 13

now you have: -x - 21 = 3x - 13

now get the both x's on the same side. (subtract 3x)

-4x - 21 = - 13

now get 21 to the other side by adding 21 to the side it is on

-4x = 8

now divide to get x

x = -2

Answer 7

2x-6-3x-15=3x-6-7 transposing -4x=8 therefore x=-2
check 2(-2)-6-3(-2)-15=-19 and 3(-2)-6-7=-19 so checks

Answer 8

2(x-3)-3(x+5)=3(x-2)-7

2x-6-3x-15=3x-6-7
-x-21=3x-13
-21=4x-13
-8=4x
-2=x

Answer 9

I suck at math but I can spell. Algebra. Good luck.