How do you solve #x-1/8=3/4#?

1 Answer
mason m
Jan 22, 2016

#x=7/8#

Explanation:

In order to isolate #x#, we should add #1/8# to both sides of the equation. This will keep the equation balanced and undo the #-1/8# already on the left hand side. This gives:

#xcolor(red)(cancel(color(black)(-1/8+1/8)))=3/4+1/8#

#x=3/4+1/8#

In order to add fractions, we must have a common denominator. We can achieve this by multiplying #3/4# by #2/2#, which is equal to #1#. This will change how the fraction looks but won't change its actual value.

#x=3/4(2/2)+1/8#

#x=6/8+1/8#

Now that the fractions have equal denominators, we can add the numerators and keep the denominators the same.

#x=(6+1)/8#

#x=7/8#

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