SOLUTION: the sum of of four times a number and three is the same as the difference of twice the number and eleven.find the number

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Question 223711: the sum of of four times a number and three is the same as the difference of twice the number and eleven.find the number
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
The the sum of of four times a number and three is the same as the difference of twice the number and eleven. Find the number.

Step 1. Let x be a number

Step 2. Let 4x+3 be the sum of four times a number and three.

Step 3. Let 2x-11 be the difference of twice the number and eleven.

Step 4. Set Steps 2 and 3 to be equal: since the the sum of of four times a number and three is the same as the difference of twice the number and eleven.

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


YOUR ANSWER


  • This is an equation! Solutions: x=-7.
  • Graphical form: Equation was fully solved.
  • Text form: 4x+3=2x-11 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 4x+3=2x-11 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-2%2Ax+%29,highlight_green%28+11+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 14 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+4%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%284-2%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2Ax%2B14=0+%29 equivalent to 2*x+14 =0
It becomes .
Result:
This is an equation! Solutions: x=-7.

Universal Simplifier and Solver


Done!



Step 5. ANSWER: The number is -7.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J
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