# SOLUTION: How do I solve 2(2r-4)/5=3r+6/4-3/2

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Question 33867This question is from textbook
: How do I solve 2(2r-4)/5=3r+6/4-3/2This question is from textbook

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Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: r=-0.727272727272727. Graphical form: Equation was fully solved.Text form: 2*(2r-4)/5=3r+6/4-3/2 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 2*(2r-4)/5=3r+6/4-3/2 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Factors 6 and 4 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
It becomes .

Look at .
Factors 0 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .

Look at .
Remove extraneous zero
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor ,
It becomes .

Look at .
Solved linear equation equivalent to -2.2*r-1.6 =0
It becomes .
Result:
This is an equation! Solutions: r=-0.727272727272727.

Done!