Question 65656
1)
{{{(15m+3)/2=-6}}}
{{{2(15m+3)/2=2(-6)}}}
{{{15m+3=-12}}}
{{{15m+3-3=-12-3}}}
{{{15m=-15}}}
{{{15m/15=-15/15}}}
{{{highlight(m=-1)}}}
Check by substituting -1 in for m and see if the equations sides equal.
{{{(15(-1)+3)/2=-6}}}
{{{(-15+3)/2=-6}}}
{{{-12/2=-6}}}
{{{-6=-6}}}  We're right!!!
:
2)3/2*-15=-12
You seem to have a type-o on #2.  Let me know what you meant and I'll edit this.
:
3)-7x+3=-15/2
{{{2(-7x+3)=2(-15/2)}}}
{{{-14x+6=-15}}}
{{{-14x+6-6=-15-6}}}
{{{-14x=-21}}}
{{{-14x/-14=-21/-14}}}
{{{highlight(x=3/2)}}}
Check:
{{{-7(3/2)+3=-15/2}}}
{{{-21/2+6/2=-15/2}}}
{{{-15/2=-15/2}}} We're right!!!
:
4)4x+1/2(12*t2)=3
I think this contains another type-o.  Let me know what you meant, and I'll get back to this one.
:
5)3/2(x+8)=6x
{{{2(3/2)(x+8)=2(6x)}}}
{{{3(x+8)=12x}}}
{{{3x+24=12x}}}
{{{3x-3x+24=12x-3x}}}
{{{24=9x}}}
{{{24/9=9x/9}}}
{{{highlight(x=8/3)}}}
Check:
{{{(3/2)(8/3+8)=6(8/3)}}}
{{{4+3(4)=2(8)}}}
{{{4+12=16}}}
{{{16=16}}} We're right!!!
Happy Calculating!!!