How do you solve #(x+2)/( 5x-2) = 4/8 #?

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Answer 1 · 2015-06-05T22:43:29

The answer is #x=2#.

Problem: Solve #(x+2)/(5x-2)=4/8#.

Simplify #4/8# to #1/2#.

#(x+2)/(5x-2)=1/2#

Cross multiply.

#2(x+2)=1(5x-2)# =

#2x+4=5x-2#

Subtract #2x# from both sides.

#4=3x-2#

Add #2# to both sides.

#6=3x#

Divide both sides by #3#.

#2=x#

Flip the equation.

#x=2#