# Math Help - Solving Vector Algebra Equation

1. ## Solving Vector Algebra Equation

I have been really struggling to get my head around the following.

Solve the equation 2((1,2,3)-X) - (-2,0,4) = -2(1,2,3) for X.

Help appreciated.

2. Let $X=(x,y,z)$.

$2[(1,2,3)-(x,y,z)]-(-2,0,4)=-2(1,2,3)$

$(2,4,6)-2(x,y,z)=(-2,0,4)-(2,4,6)$

$2(x,y,z)=2(2,4,6)-(-2,0,4)=(6,8,8)\Rightarrow (x,y,z)=(3,4,4)$