SOLUTION: solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x)

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Question 213470This question is from textbook
: solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x) This question is from textbook

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
7x - 3(4 - 2x)= 2(x-3)- (5-x)

The following steps will simplify and solve the above equation.

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=0.1.
  • Graphical form: Equation was fully solved.
  • Text form: 7x-3*(4-2x)=2*(x-3)-(5-x) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 7x-3*(4-2x)=2*(x-3)-(5-x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 4 to the right of expression
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-5+%29,highlight_red%28+x+%29
It becomes .
Look at .
Moved -5 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-2%2A%28x-3%29+%29,highlight_green%28+-x+%29,highlight_green%28+5+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+7%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%287-1%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Expanded term -3 by using associative property on %28-2%2Ax%2B4%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 -7 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -7
It becomes .
Look at .
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+6%2Ax+%29 replacing them with highlight_green%28+%286%2B6%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes .
Look at .
Expanded term -2 by using associative property on %28x-3%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -1
It becomes .
Look at .
Eliminated similar terms highlight_red%28+12%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%2812-2%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+10%2Ax-1=0+%29 equivalent to 10*x-1 =0
It becomes .
Result:
This is an equation! Solutions: x=0.1.

Universal Simplifier and Solver


Done!





I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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