How do you solve #\frac { 3( x - \frac { 1} { 2} ) } { 2} - \frac { \frac { 1} { 2} x + \frac { 1} { 4} } { 3} = - 2#?

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Answer 1 · 2017-08-14T17:55:26

See below.

Multiplying the expression by #6#,

#6\cdot\frac { 3( x - \frac { 1} { 2} ) } { 2} - 6\cdot\frac { \frac { 1} { 2} x + \frac { 1} { 4} } { 3} = - 2#

#9(x-1/2)-(x+1/2)=-12#

#9x-9/2-x-1/2=-12#

#8x-5=-12#

#8x=-7#

#x=-7/8#