Question 665628
Starting with
3x + 6 - 1x = 6 + 3x - 8
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Group like terms: get x onto one side
3x + 6 - 1x {{{highlight(-3x)}}} = 6 +{{{cross(3x)}}} - 8 - {{{cross(-3x)}}}
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3x + 6 - 1x - 3x = 6 - 8
3x +{{{cross(6)}}} - 1x - 3x {{{cross(-6)}}} = 6 - 8 {{{highlight(-6)}}}
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3x - 1x - 3x = 6 - 8 - 6
Combine like terms
-1x = -8
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Divide both sides by -1
{{{cross(-1)x/cross(-1) = (-8)/-1}}}
{{{highlight(x = 8)}}}
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Check 
{{{cartoon(
3(8) + 6 - 1(8),18 + 6 - 8, 16)}}}
{{{cartoon(
6 + 3(8) - 8, 6 + 18 - 8, 16)}}}

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