Question 13575
{{{2x - (2x)/7 = x/2 + 17/2}}}

Multiply both sides by the LCD, in this case, 14.
{{{(14)(2x - (2x)/7) = (14)(x/2 + 17/2)}}}

Use the distributive property and reduce:
{{{28x - 4x = 7x + 119}}}
Subtract 7x from both sides.
{{{28x - 4x - 7x = 7x - 7x + 119}}}
Reduce.
{{{17x = 119}}}
Divide both sides by 17.
{{{17x/17 = 119/17}}}
Reduce
{{{x = 7}}}

Check:
{{{2(7) - (2*7)/7 = 7/2 + 17/2}}}
{{{14 - 2 = 24/2}}}
{{{12=12}}}

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<marquee behavior="alternate">Solved By: NtNk</marquee>