2(x-1)+3=x-3(x+1)?

Answer 1

expand and simplify:

multiply the 2 and 3 through their respected brackets
2x - 2 + 3 = x - 3x - 3
collect like terms, x terms on the left
2x + 3x - x = -3 + 2 - 3
simplify
4x = -4
x = -4/4 = -1

Answer 2

2(x-1) + 3 = x - 3( x+1)
2 x -2 +3 = x - 3 x -3
2 x -x +3 x = -3 +2 -3
x+3 x = -6 +2
4 x = -4
x = - 4 /4
x= -1 reapply: 2( -1-1)+3 =-1 -3(-1+1)
-4 +3 = -1 - 0 ,,,,-1=-1

Answer 3

I'm assuming your solving for the x-variable, correct?

2(x - 1) + 3 = x - 3(x + 1)

First: eliminate the parenthesis > multiply the outer (terms in front of the parenthesis) terms with the terms in the parenthesis...

2(x) - 2(1) + 3 = x - 3(x) - 3(1)

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

*Combine "like" terms...

2x + 1 = -2x - 3

Sec: subtract "1" from both sides...

2x + 1 - 1 = -2x - 3 - 1
2x = - 2x - 4

*Add "2x" to both sides...

2x + 2x = - 2x + 2x - 4
4x = - 4

Third: solve for "x" by isolating it on one side > divide both sides by 4...

4x/4 = - 4/4
x = - 1

Answer 4

2(x-1)+3=x-3(x+1)
2x - 2 + 3 = x - 3x - 3
2x + 1 = -2x - 3
4x = -4
x = -1.

Ck.
2(-2) + 3 = -4 + 3 = -1.
and
(-1) - 3(0) = -1.

Answer 5

2x - 2 + 3 = x - 3x -3
2x + 1 = -2x -3
2x + 2x = -3 -1
4x = -4
x = -1
Solution: {x elements of R | x = -1}
::

Answer 6

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

2x+1=-2x-3

2x+2x = -3-1

4x = -4

so x = -4/4

so x = -1