How do you solve #\frac{15}{2}=-1x+7#?

2 Answers
Jim G.
Jun 28, 2018

#x=-1/2#

Explanation:

#"multiply all terms by 2"#

#cancel(2)xx15/cancel(2)=-2x+14#

#"subtract 14 from both sides"#

#15-14=-2x#

#1=-2x#

#"divide both sides by "-2#

#-1/2=xrArrx=-1/2#

Jacobi J.
Jun 28, 2018

#x=-1/2#

Explanation:

We can multiply both sides of this equation by #2#. Doing this, we get

#2(-x+7)=15#

Note that #-1x# can be written as #-x#. The #-1# is implicitly there.

Next, let's distribute the #2# to both terms in the parenthesis to get

#-2x+14=15#

Subtracting #14# from both sides gives us

#-2x=1#

Dividing both sides by #-2# gives us

#x=-1/2#

Hope this helps!

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