SOLUTION: Please could you help to find the value of "x" in the following equation? 3(2x+1)=8x-5 Thanks in advance

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Question 211884: Please could you help to find the value of "x" in the following equation?
3(2x+1)=8x-5
Thanks in advance
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.
  • Graphical form: Equation 3%2A%282x%2B1%29=8x-5 was fully solved.
  • Text form: 3*(2x+1)=8x-5 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%282x%2B1%29=8x-5+%29
    For tutors: simplify_cartoon( 3*(2x+1)=8x-5 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%282%2Ax%2B1%29=highlight_red%28+8%2Ax-5+%29.
Moved these terms to the left highlight_green%28+-8%2Ax+%29,highlight_green%28+5+%29
It becomes 3%2A%282%2Ax%2B1%29-highlight_green%28+8%2Ax+%29%2Bhighlight_green%28+5+%29=0.
Look at highlight_red%28+3%2A%282%2Ax%2B1%29+%29-8%2Ax%2B5=0.
Expanded term 3 by using associative property on %282%2Ax%2B1%29
It becomes highlight_green%28+3%2A2%2Ax+%29%2Bhighlight_green%28+3%2A1+%29-8%2Ax%2B5=0.
Look at highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax%2B3%2A1-8%2Ax%2B5=0.
Multiplied numerator integers
It becomes highlight_green%28+6+%29%2Ax%2B3%2A1-8%2Ax%2B5=0.
Look at 6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29-8%2Ax%2B5=0.
Multiplied numerator integers
It becomes 6%2Ax%2Bhighlight_green%28+3+%29-8%2Ax%2B5=0.
Look at 6%2Ax%2Bhighlight_red%28+3+%29-8%2Ax%2Bhighlight_red%28+5+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2Bhighlight_green%28+8+%29-8%2Ax=0.
Look at 6%2Ax%2Bhighlight_red%28+8+%29-8%2Ax=0.
Moved 8 to the right of expression
It becomes 6%2Ax-8%2Ax%2Bhighlight_green%28+8+%29=0.
Look at highlight_red%28+6%2Ax+%29-highlight_red%28+8%2Ax+%29%2B8=0.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+-8%2Ax+%29 replacing them with highlight_green%28+%286-8%29%2Ax+%29
It becomes highlight_green%28+%286-8%29%2Ax+%29%2B8=0.
Look at %28highlight_red%28+6+%29-highlight_red%28+8+%29%29%2Ax%2B8=0.
Added fractions or integers together
It becomes %28highlight_green%28+-2+%29%29%2Ax%2B8=0.
Look at %28highlight_red%28+-2+%29%29%2Ax%2B8=0.
Removed extra sign in front of -2
It becomes %28-highlight_green%28+2+%29%29%2Ax%2B8=0.
Look at highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax+%29%2B8=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes -highlight_green%28+2+%29%2Ax%2B8=0.
Look at highlight_red%28+-2%2Ax%2B8+%29=0.
Solved linear equation highlight_red%28+-2%2Ax%2B8=0+%29 equivalent to -2*x+8 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!