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

Simple and best practice solution for 2(x-1)=3(x+1)-3 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2(x-1)=3(x+1)-3 equation:


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

Reorder the terms:
2(-1 + x) = 3(x + 1) + -3
(-1 * 2 + x * 2) = 3(x + 1) + -3
(-2 + 2x) = 3(x + 1) + -3

Reorder the terms:
-2 + 2x = 3(1 + x) + -3
-2 + 2x = (1 * 3 + x * 3) + -3
-2 + 2x = (3 + 3x) + -3

Reorder the terms:
-2 + 2x = 3 + -3 + 3x

Combine like terms: 3 + -3 = 0
-2 + 2x = 0 + 3x
-2 + 2x = 3x

Solving
-2 + 2x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-2 + 2x + -3x = 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = 0

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

See similar equations:

| 15-1/2x=1/4 | | 1/8y+1/6=-7/8y+1/3 | | x+5-2x+3=7-3x-1 | | 5(2x+3y)-5(4x-5y)= | | 12/4.6-(5+10) | | 12x^2-25x+12=12x^2-38x+20 | | -2t^2+6+9=0 | | 12x^2-38x+20=0 | | 12y^2-8y=0 | | -3/10+x-5/8 | | (N)(1/4N-11/4N)=0 | | (N)(1/4n-11/4)=0 | | 0.428571429x+3-x+3=2 | | 4y^2-28=0 | | 7x-4=2x+7 | | 1/16n^2-3/4n-2n=0 | | 0.8y-0.3=45 | | -6x^2+12x-6=0 | | 15ab+ab+6ab= | | -6x^2+2x-6=0 | | 9(-4x)= | | 15ab+ab+ab= | | 4^8/4^-4 | | 1/3(12x+16)+2/3 | | 6/5z=-1/10 | | 3t+12=2(5t) | | -1/9(11x) | | -1/9(11*2) | | (9x+3)+(5x)=115 | | 4n=r+4v | | (6x+4)+(5x-2)=90 | | (12x+7)+(18x-7)+(15x)=180 |

Equations solver categories