How do you solve #\frac { 2x - 4} { 10} = \frac { 4} { 5}# ?

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Answer 1 · 2017-09-16T11:14:38

#x=6#

#(2x-4)/color(blue)(10) = 4/5#

Multiply both sides by #color(blue)(10)# to cancel the denominator on the left.
This isolates the expression with the variable.

#(2x-4)/color(blue)(cancel10)xxcolor(blue)(cancel10) = 4/5xx color(blue)(10)#

#2x-4 = (4xxcancel10^2)/cancel5" "larr# simplify the fraction

#2x = 8+4" "larr# isolate the term in #x#

#2x =12" "larr# isolate #x#

#x=6#