Question 633381
={{{6-2(5x-1)=4x+2(1-x)}}}
={{{6-10x+2=4x+2-2x}}}
={{{-10x+8=2x+2}}}
={{{-10x-2x=2-8}}} 
={{{-12x=-6}}} 
={{{-12x/-12=-6/-12}}}
={{{cross(-12)x/cross(-12)=cross(-6)/cross(-12)}}}
={{{x=1/2}}}


Check

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{{{6-2(5x-1)=4x+2(1-x)}}}
Put {{{x=1/2}}}
{{{6-2(5(1/2)-1)=4(1/2)+2(1-(1/2))}}}
{{{6-2((5/2)-1)=(4/2)+2(1-(1/2))}}}
{{{6-2((5-2)/2)=(4/2)+2((2-1)/2))}}}
{{{6-2(3/2)=(4/2)+2(1/2)}}}
{{{6-cross(2)(3/cross(2))=(cross(4)/cross(2))+cross(2)(1/cross(2))}}}
{{{6-3=2+1)}}}
{{{3=3)}}}