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

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


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

Reorder the terms:
2(-1 + x) = 3(2 + -1x)
(-1 * 2 + x * 2) = 3(2 + -1x)
(-2 + 2x) = 3(2 + -1x)
-2 + 2x = (2 * 3 + -1x * 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 = 5x
-2 + 5x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 5x = 6 + 0
-2 + 5x = 6

Add '2' to each side of the equation.
-2 + 2 + 5x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 6 + 2
5x = 6 + 2

Combine like terms: 6 + 2 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6

See similar equations:

| 2.4x=256 | | 9(4-x)=18 | | 3z-15=22-11 | | 16a-5c=45 | | 9a+3c=66 | | 32-15=22-11 | | -4x^2-3x+7=10 | | 20xy+20x+2= | | 3(b+2)+5=8b+13 | | 3(b+2)+5= | | 9(2a+7)=3(4a-3) | | 25/2^1/2 | | p^2-25p=0 | | 89=-12x+5 | | -9/13=x39 | | 2q-q= | | 15+x=7 | | y=cos(45°-(3.14/4)) | | S=b+2p | | 5600+170x-3x^2=0 | | 3x^2-170x+5600=0 | | 9x^4+1=0 | | 16/x-3x=2 | | 16/x-3x= | | 8+log[3](5x)=9 | | y=4x^2+24x-38 | | 2e^5x=31 | | 1=11-8+5 | | x+0.06x=240 | | 8x-5=2x+3 | | x+0.06x=720 | | t/4-5=16 |

Equations solver categories