How do you solve #0.5x + 10.6= x - 4.55#?

1 Answer
smendyka
Feb 18, 2017

Se the entire solution process below:

Explanation:

First. subtract #color(red)(0.5x)# and add #color(blue)(4.55)# from each side of the equation to isolate the #x# terms while keeping the equation balanced:

#0.5x + 10.6 - color(red)(0.5x) + color(blue)(4.55) = x - 4.55 - color(red)(0.5x) + color(blue)(4.55)#

#0.5x - color(red)(0.5x) + 10.6 + color(blue)(4.55) = x - color(red)(0.5x) - 4.55 + color(blue)(4.55)#

#0 + 15.15 = 0.5x - 0#

#15.15 = 0.5x#

Now, divide each side of the equation by #color(red)(0.5)# to solve for #x# while keeping the equation balanced:

#15.15/color(red)(0.5) = (0.5x)/color(red)(0.5)#

#30.3 = (color(red)(cancel(color(black)(0.5)))x)/cancel(color(red)(0.5))#

#30.3 = x#

#x = 30.3#

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