How do you solve #\frac { 1} { 2} ( x + 10) = \frac { 3} { 4} ( x + 20)#?

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Answer 1 · 2018-07-15T13:37:36

#x=-40#

Multiplying the given equation by #4#

#2(x+10)=3(x+20)#
expanding

#2x+20=3x+60#
subtracting #2x# and #60#
we get
#x=-40#

Answer 2 · 2018-07-15T15:47:42

#x=-40#

We can multiply both sides of this equation by #4#, since this is the LCM of the denominators. We now have

#2(x+10)=3(x+20)#

We can distribute the #2# on the left and the #3# on the right to get

#2x+20=3x+60#

Subtracting #3x# from both sides gives us

#-x+20=60#

Subtracting #20# from both sides, we get

#-x=40#

We can divide both sides by #-1# to isolate #x#. We get

#x=-40#

Hope this helps!