linear equations: 2(x - 3) - 3(x + 5) = 3(x - 2) - 7

I am struggling in a beginning algebra class with linear equations.

Could someone let me know if this equation is solved correctly? My problem seems to be when to add or subtract after combining like terms and how to make sure the x is to the left.


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

2x - 6 - 3x + 15 = 3x - 6 - 7
2x + -3 + 15 = 3x + 13
-8x + 15 = 3x + 13
3x 3x
-8x 16
15
X = 1

Re: Linear equations

peace1146 said:

I am struggling in a beginning algebra class with linear equations.

Could someone let me know if this equation is solved correctly? My problem seems to be when to add or subtract after combining like terms and how to make sure the x is to the left.


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

2x - 6 - 3x + 15 = 3x - 6 - 7 ----> wrong sign
2x + -3 + 15 = 3x + 13
-8x + 15 = 3x + 13
3x 3x
-8x 16
15 now what is all this?

X = 1

Click to expand...

peace1146 said:

"2(x - 3) - 3(x + 5) = 3(x - 2) - 7
2x - 6 - 3x + 15 = 3x - 6 - 7"

your + 15 should be - 15; so:
2x - 6 - 3x - 15 = 3x - 6 - 7

"2x + -3 + 15 = 3x + 13"

How in heck did you get that? Should be:
-x - 21 = 3x - 13
Then:
-x + 3x = 21 - 13
2x = 8
x = 8/2 = 4

Click to expand...

I think you need to get back to basics; talk to your teacher.