How do you solve #\frac { 2x - 3} { 2} - \frac { 5( x - 1) } { 3} = - 4#?

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Answer 1 · 2018-07-30T19:47:07

#x=25/4#

To get rid of the fractions, we can multiply both sides by the LCM of the denominators, which happens to be #6#. We now have

#cancel6^3((2x-3)/cancel2)-cancel6^2((5(x-1))/cancel3)=6(-4)#

This simplifies nicely to

#3(2x-3)-10(x-1)=-24#

Using the distributive property, we can simplify this to

#6x-9-10x+10=-24#

Combining like terms, we now have

#-4x+1=-24#

Subtracting #1# from both sides gives us

#-4x=-25#

Lastly, we divide both sides by #-4# to get

#x=25/4#

Hope this helps!