Question 663995
Starting with
{{{14 + (3x/6) = (9/4)}}}
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Isolate the x variable
{{{3x/6 = 9/4 - 14}}}
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Multiply the entire equation by 6
{{{(3x/cross(6))(cross(6)) = (9/2cross(4))(3cross(6)) - 14(6)}}}
3x = {{{27/2}}} - 84
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Create common denominator to subtract on the right
3x = {{{27/2 - 84(2/2)}}}
3x = {{{27/2 - 168/2 = -141/2}}}
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Divide both sides by 3
{{{cross(3)x/cross(3) = (-141/2)/3 = (-141/2)(1/3)}}}
{{{highlight(x = (-141/6) = -23(3/6) = -23 (1/2))}}}
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If starting with
{{{(14-3x)/6 = 9/4}}}
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Multiply the entire equation by 6
{{{(cross(6))((14 - 3x)/cross(6)) = (9/2cross(4))(3cross(6))}}}
14 - 3x = {{{27/2}}}
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Isolate x
14 - {{{27/2) = 3x
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Create a common denominator
{{{(14)(2/2) - 27/2 = 3x}}}
{{{28/2 - 27/2 = 3x}}}
{{{1/2 = 3x}}}
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Divide both sides by 3
{{{(1/2)/3 = cross(3)x/cross(3) = (1/2)(1/3)}}}
{{{highlight(x = 1/6)}}}
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