SOLUTION: What is 2(x-3)-5=4(x-5)? Can you also show the steps.

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Question 7369: What is 2(x-3)-5=4(x-5)?
Can you also show the steps.
Answer by ichudov(507) About Me  (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: x=4.5.
  • Graphical form: Equation 2%2A%28x-3%29-5=4%2A%28x-5%29 was fully solved.
  • Text form: 2*(x-3)-5=4*(x-5) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2%2A%28x-3%29-5=4%2A%28x-5%29+%29
    For tutors: simplify_cartoon( 2*(x-3)-5=4*(x-5) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2%2A%28x-3%29-5=highlight_red%28+4%2A%28x-5%29+%29.
Moved these terms to the left highlight_green%28+-4%2A%28x-5%29+%29
It becomes 2%2A%28x-3%29-5-highlight_green%28+4%2A%28x-5%29+%29=0.
Look at 2%2A%28x-3%29-highlight_red%28+5+%29-4%2A%28x-5%29=0.
Moved -5 to the right of expression
It becomes 2%2A%28x-3%29-4%2A%28x-5%29-highlight_green%28+5+%29=0.
Look at highlight_red%28+2%2A%28x-3%29+%29-4%2A%28x-5%29-5=0.
Expanded term 2 by using associative property on %28x-3%29
It becomes highlight_green%28+2%2Ax+%29-highlight_green%28+2%2A3+%29-4%2A%28x-5%29-5=0.
Look at 2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+3+%29-4%2A%28x-5%29-5=0.
Multiplied numerator integers
It becomes 2%2Ax-highlight_green%28+6+%29-4%2A%28x-5%29-5=0.
Look at 2%2Ax-highlight_red%28+6+%29-4%2A%28x-5%29-highlight_red%28+5+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-11+%29-4%2A%28x-5%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-11+%29-4%2A%28x-5%29=0.
Moved -11 to the right of expression
It becomes 2%2Ax-4%2A%28x-5%29%2Bhighlight_green%28+-11+%29=0.
Look at 2%2Ax-4%2A%28x-5%29%2Bhighlight_red%28+-11+%29=0.
Removed extra sign in front of -11
It becomes 2%2Ax-4%2A%28x-5%29-highlight_green%28+11+%29=0.
Look at 2%2Ax-highlight_red%28+4%2A%28x-5%29+%29-11=0.
Expanded term -4 by using associative property on %28x-5%29
It becomes 2%2Ax-highlight_green%28+4%2Ax+%29%2Bhighlight_green%28+4%2A5+%29-11=0.
Look at 2%2Ax-4%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+5+%29-11=0.
Multiplied numerator integers
It becomes 2%2Ax-4%2Ax%2Bhighlight_green%28+20+%29-11=0.
Look at 2%2Ax-4%2Ax%2Bhighlight_red%28+20+%29-highlight_red%28+11+%29=0.
Added fractions or integers together
It becomes 2%2Ax-4%2Ax%2Bhighlight_green%28+9+%29=0.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+4%2Ax+%29%2B9=0.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-4%2Ax+%29 replacing them with highlight_green%28+%282-4%29%2Ax+%29
It becomes highlight_green%28+%282-4%29%2Ax+%29%2B9=0.
Look at %28highlight_red%28+2+%29-highlight_red%28+4+%29%29%2Ax%2B9=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax%2B9=0.
Look at %28highlight_red%28+-2+%29%29%2Ax%2B9=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax%2B9=0.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29%2B9=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax%2B9=0.
Look at highlight_red%28+-2%2Ax%2B9+%29=0.
Solved linear equation highlight_red%28+-2%2Ax%2B9=0+%29 equivalent to -2*x+9 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.5.

Universal Simplifier and Solver


Done!