(x-y)-(y-z)-(z-x)=

Simple and best practice solution for (x-y)-(y-z)-(z-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 (x-y)-(y-z)-(z-x)= equation:


Simplifying
(x + -1y) + -1(y + -1z) + -1(z + -1x) = 0

Remove parenthesis around (x + -1y)
x + -1y + -1(y + -1z) + -1(z + -1x) = 0
x + -1y + (y * -1 + -1z * -1) + -1(z + -1x) = 0
x + -1y + (-1y + 1z) + -1(z + -1x) = 0

Reorder the terms:
x + -1y + -1y + 1z + -1(-1x + z) = 0
x + -1y + -1y + 1z + (-1x * -1 + z * -1) = 0
x + -1y + -1y + 1z + (1x + -1z) = 0

Reorder the terms:
x + 1x + -1y + -1y + 1z + -1z = 0

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

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

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

Solving
2x + -2y = 0

Solving for variable 'x'.

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

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

Combine like terms: -2y + 2y = 0
2x + 0 = 0 + 2y
2x = 0 + 2y
Remove the zero:
2x = 2y

Divide each side by '2'.
x = y

Simplifying
x = y

See similar equations:

| 2x^2-8x=-16 | | y=2100+5x | | 12x^2-2x-2= | | 2(3m+n)-3(m-3n)= | | 35x^2-15x= | | 6x-5+7x=-83 | | 15-3x=25+12 | | 18x+6=18x+6 | | 3iz^2-2z+i=0 | | 20K=50 | | 12x+21=4x+213 | | 5x+6=7x-8 | | 38-2x=7x+24 | | 3(4+M)= | | 6x-8=-2(x-4) | | 4(r-1)= | | 2-3s=14 | | (p-m)+(m-2p)= | | 4p^2+4p-24= | | (3-d)5= | | 8x+9y=63 | | 1231/32-93/8*8/15= | | 5(2x+10)=3(5x-4) | | 4z^2+4z-15= | | -6(-2)-2(-2)=16 | | 4.12(x-789)=18.2 | | m^2+7m-18= | | -8a+3a= | | 49y^2-4x^2= | | 2x^2-17x=36 | | 49y^2+4x^2= | | -96-36=16 |

Equations solver categories