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

Simple and best practice solution for 2(x-1)=3(x+2) 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+2) equation: 


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

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

Reorder the terms:
-2 + 2x = 3(2 + x)
-2 + 2x = (2 * 3 + x * 3)
-2 + 2x = (6 + 3x)

Solving
-2 + 2x = 6 + 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 = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-2 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -1x = 6 + 0
-2 + -1x = 6

Add '2' to each side of the equation.
-2 + 2 + -1x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 6 + 2
-1x = 6 + 2

Combine like terms: 6 + 2 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

See similar equations:

| 8n-16n= | | -5.94=2.5a-0.3a | | 10+7x=-4 | | 18=24b | | 6a-2a=4a+8 | | 4(-8-x)=-16 | | 3x^2+4x-7=0 | | -63=-3x-9(5x-9) | | 9b=15 | | 3a-7=2(a+1)+12a+3 | | 5(2x-43)=10x-215 | | -5(-1+2x)=95 | | -7(8-6x)=28 | | 5(4x-3)=33 | | -5x^2+20x+1= | | 3-g=-6 | | Y^2+6y+9=49 | | -2x=10 | | 7=b-5+8 | | 5(N-6)=10 | | -4+m=-11 | | 7(2x+3)=189 | | -8-8x=x-4x | | 4(Z+11)=36 | | 10=9-6v+7v | | 4N+7N=132 | | 3x^2-30x+75=0 | | 4p^2+2p=0 | | 3b^2+16=-14b | | x^3+9x^2+3x+27= | | 3r-20=5 | | 3(6-5x)=-87 |

Equations solver categories