How do you multiply #1 - 3 / (2x) = 7/4#?

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Answer 1 · 2015-05-09T10:42:41

L.H.S = # 1 - (3/(2x))#

multiplying the numerator and denominator of 1 by #2x# to make a common denominator for both terms:

= # (1) xx (2x) /(2x)- (3/(2x))#

= # (2x - 3)/(2x)#

equating with R.H.S:

# (2x - 3)/(2x) = 7/4#

On cross multiplication:

# (2x - 3) xx 4 = (2x) xx 7#

# 8x - 12 = 14x#
# -6x = 12#
# x = - 2#