How do you solve #5.6= - 4.1+ \frac { x } { 5}#?

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Answer 1 · 2017-04-17T14:36:08

See the entire solution process below:

First, add #color(red)(4.1)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#color(red)(4.1) + 5.6 = color(red)(4.1) - 4.1 + x/5#

#9.7 = 0 + x/5#

#9.7 = x/5#

Now, multiply each side of the equation by #color(red)(5)# to solve for #x# while keeping the equation balanced:

#color(red)(5) xx 9.7 = color(red)(5) xx x/5#

#48.5 = cancel(color(red)(5)) xx x/color(red)(cancel(color(black)(5)))#

#48.5 = x#

#x = 48.5#