How do you solve $1/2 (x-3) = 1/3 (2x+1)$ ?

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Answer 1 · 2015-06-01T20:00:19

$x/2-3/2=(2x)/3+1/3$

We are going to put it all on six by multiplying both denominators and numerators

$(3x)/6-9/6=(4x)/6+2/6$

We substract $2/6$ on both sides

$(3x)/6-9/6-2/6=(4x)/6$

$(3x)/6-11/6=(4x)/6$

We substract $(3x)/6$ on both side

$-11/6=(4x)/6-(3x)/6$

$-11/6=x/6$

We multiply both side by six to get $x$

$x=-11$

How do you solve 1/2 (x-3) = 1/3 (2x+1)1/2 (x-3) = 1/3 (2x+1)?