How do you solve #3/5x-7/10=1/2x-5/4#?

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Answer 1 · 2017-07-05T12:17:32

#x=-11/2# or #-5.5#

#3/5x-7/10=1/2x-5/4#

#:.(12x-14=10x-25)/20#

Multiply both sides by #20#

#:.12x-14=10x-25#

#:.12x-10x=-25+14#

#:.2x=-11#

#:.color(magenta)(x=-11/2# or # color(magenta)(-5.5#

Check:

substitute # color(magenta)(x=-5.5#

#:.0.6(color(magenta)(-5.5))-0.7=0.5(color(magenta)(-5.5))-1.25#

#:.color(magenta)(-4=-4#