SOLUTION: solve each equation. 5-(3a-4)/5= (7-2a)/2

Algebra.Com
Question 932166: solve each equation.
5-(3a-4)/5= (7-2a)/2
Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: a=-5.75.
  • Graphical form: Equation was fully solved.
  • Text form: 5-(3a-4)/5=(7-2a)/2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5-(3a-4)/5=(7-2a)/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 5 to the right of expression
It becomes .
Look at .
Moved 7 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-%28-2%2Aa%2B7%29%2F2+%29
It becomes .
Look at .
Moved 5 to the right of expression
It becomes .
Look at .
Expanded term -1%2F5 by using associative property on %283%2Aa-4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 29%2F5 to the right of expression
It becomes .
Look at .
Expanded term -1%2F2 by using associative property on %28-2%2Aa%2B7%29
It becomes .
Look at .
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+1+%29 to
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-3%2F5%2Aa+%29,highlight_red%28+a+%29 replacing them with highlight_green%28+%28-3%2A1%2F5%2B1%29%2Aa+%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29,highlight_red%28+1%2F5+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2F5%2Aa%2B23%2F10=0+%29 equivalent to 0.4*a+2.3 =0
It becomes .
Result:
This is an equation! Solutions: a=-5.75.

Universal Simplifier and Solver


Done!
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

solve each equation.
5-(3a-4)/5= (7-2a)/2




50 - 2(3a - 4) = 5(7 - 2a)}}} ------- Multiplying by LCD, 10

50 - 6a + 8 = 35 - 10a

58 - 6a = 35 - 10a

- 6a + 10a = 35 - 58

4a = - 23

, or  

RELATED QUESTIONS


(2a^5)(-3a^-7) (answered by Tatiana_Stebko)

Solve linear equation:... (answered by jainpreeja)

2a-5=3a+4 (answered by oscargut)

2a-5/7 =... (answered by ReadingBoosters)

pls solve... (answered by jim_thompson5910)



what is 3a-4/2=5-2a... (answered by jim_thompson5910,checkley71)

4a (3a^2 - 2a+4) -3a^2 (2a-5) +2a^-5) + a^2... (answered by Paul)

Solve (3a^5 b^3 c^2)^2 * (2a^2 b^5... (answered by Fombitz)

Please help me solve this equation: 2a+7/a^2-2a-15 -... (answered by Fombitz)