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

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Answer 1 · 2015-05-09T11:12:03

# (1/(2x)) + (3 /(x+7)) = -(1/x)#
# (1/(2x)) + (1/x) = -(3 /(x+7))#

# (1/(2x)) + ((1 xx 2)/(x xx 2)) = -(3 /(x+7))#

L.C.M of the L.H.S is #2x#

# (1/(2x)) + ((2)/(2x)) = -(3 /(x+7))#

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

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

on cross multiplying:
# 3 xx (x + 7) = (-3) xx (2x)#

# 3x + 21 = -6x#

# 9x = -21#

# x = -7/3#