X-2(X-1)=3(X-2)

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


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

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

Reorder the terms:
2 + X + -2X = 3(X + -2)

Combine like terms: X + -2X = -1X
2 + -1X = 3(X + -2)

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

Solving
2 + -1X = -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 + -1X + -3X = -6 + 3X + -3X

Combine like terms: -1X + -3X = -4X
2 + -4X = -6 + 3X + -3X

Combine like terms: 3X + -3X = 0
2 + -4X = -6 + 0
2 + -4X = -6

Add '-2' to each side of the equation.
2 + -2 + -4X = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4X = -6 + -2
-4X = -6 + -2

Combine like terms: -6 + -2 = -8
-4X = -8

Divide each side by '-4'.
X = 2

Simplifying
X = 2

See similar equations:

| 49=7/9y | | s-10=20.02 | | 4-2(x+1)=5(2x-12) | | 7x+x=3x+18+8x | | 6x+13=8x-17 | | -4(x-3)+5x=4-9 | | 3x-22=20 | | 22=17x+20 | | -183.33+x=30.76 | | 120x-.4x^4+1000=0 | | -183.33x=30.76 | | 9+12p-5=9p+34-7p | | 3x+2y=20tho | | 2y-5x=-80 | | c=6n+35 | | 96=11x+168 | | 8a+10b=6c | | 4(x-5)+6=26 | | 6a-2-5a=-4+8 | | 0.72x+3.24x+32.58x=0.89x-0.55x | | 3x≤−5/4 | | 12a-4(5a-1)=2(3a+6) | | ln(6x)=10 | | E^2x-5=6 | | 2-3x=-8x+17 | | 2(4x-2)-2=2x+24 | | 4(x+4)=-2x+10 | | 3(4x+2)=x+17 | | -6(0.1x+0.2)-2.9=-0.5 | | 86-y=258 | | 4(n+4)=13n+7 | | 7x^2+55x+28=-7+x |

Equations solver categories